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Grade
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Date
Questions10
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1

Find the value of x in the proportion

21: x = 42:12

2

Find the value of x in the proportion

16: x = 128:184

3

Find the value of x in the proportion

5:6 = 45: x

4

Find the value of x in the proportion

20: x = 120:66

5

Find the value of x in the proportion

2:7 = 10: x

6

Find the value of x in the proportion

x :13 = 225:117

7

Find the value of x in the proportion

3:22 = 24: x

8

Find the value of x in the proportion

7:24 = x:48

9

Find the value of x in the proportion

16: x = 48:15

10

Find the value of x in the proportion

2:7 = 18: x

Answers Key

Show All Workout

1

Find the value of x in the proportion

21: 6 = 42:12

step 1

Write the given ratios in fraction form

21:y =

21y

42:12 =

4212

step 2

Find the Means & Extremes

21 x 12 = 42 x y

Extremes = 21, 12

Means = 42, y

21y

=

4212

Extremes = 21, 12

Means = 42, y

step 3

Rearrange the statement to find y

y = 6

y =

21 x 1242

step 4

The missing term in the proportion is 6

Therefore the proportion is 21: 6 = 42:12

Therefore the proportion is 21: 6 = 42:12

2

Find the value of x in the proportion

16: 23 = 128:184

step 1

Write the given ratios in fraction form

16:y =

16y

128:184 =

128184

step 2

Find the Means & Extremes

16 x 184 = 128 x y

Extremes = 16, 184

Means = 128, y

16y

=

128184

Extremes = 16, 184

Means = 128, y

step 3

Rearrange the statement to find y

y = 23

y =

16 x 184128

step 4

The missing term in the proportion is 23

Therefore the proportion is 16: 23 = 128:184

Therefore the proportion is 16: 23 = 128:184

3

Find the value of x in the proportion

5:6 = 45:54

step 1

Write the given ratios in fraction form

5:6 =

56

45:y =

45y

step 2

Find the Means & Extremes

5 x y = 45 x 6

Extremes = 5, y

Means = 45, 6

56

=

45y

Extremes = 5, y

Means = 45, 6

step 3

Rearrange the statement to find y

y = 54

y =

45 x 65

step 4

The missing term in the proportion is 54

Therefore the proportion is 5:6 = 45:54

Therefore the proportion is 5:6 = 45:54

4

Find the value of x in the proportion

20: 11 = 120:66

step 1

Write the given ratios in fraction form

20:y =

20y

120:66 =

12066

step 2

Find the Means & Extremes

20 x 66 = 120 x y

Extremes = 20, 66

Means = 120, y

20y

=

12066

Extremes = 20, 66

Means = 120, y

step 3

Rearrange the statement to find y

y = 11

y =

20 x 66120

step 4

The missing term in the proportion is 11

Therefore the proportion is 20: 11 = 120:66

Therefore the proportion is 20: 11 = 120:66

5

Find the value of x in the proportion

2:7 = 10:35

step 1

Write the given ratios in fraction form

2:7 =

27

10:y =

10y

step 2

Find the Means & Extremes

2 x y = 10 x 7

Extremes = 2, y

Means = 10, 7

27

=

10y

Extremes = 2, y

Means = 10, 7

step 3

Rearrange the statement to find y

y = 35

y =

10 x 72

step 4

The missing term in the proportion is 35

Therefore the proportion is 2:7 = 10:35

Therefore the proportion is 2:7 = 10:35

6

Find the value of x in the proportion

25:13 = 225:117

step 1

Write the given ratios in fraction form

y:13 =

y13

225:117 =

225117

step 2

Find the Means & Extremes

x 117 = 225 x 13

Extremes = 117, y

Means = 225, 13

y13

=

225117

Extremes = 117, y

Means = 225, 13

step 3

Rearrange the statement to find y

y = 25

y =

225 x 13117

step 4

The missing term in the proportion is 25

Therefore the proportion is 25:13 = 225:117

Therefore the proportion is 25:13 = 225:117

7

Find the value of x in the proportion

3:22 = 24:176

step 1

Write the given ratios in fraction form

3:22 =

322

24:y =

24y

step 2

Find the Means & Extremes

3 x y = 24 x 22

Extremes = 3, y

Means = 24, 22

322

=

24y

Extremes = 3, y

Means = 24, 22

step 3

Rearrange the statement to find y

y = 176

y =

24 x 223

step 4

The missing term in the proportion is 176

Therefore the proportion is 3:22 = 24:176

Therefore the proportion is 3:22 = 24:176

8

Find the value of x in the proportion

7:24 = 14:48

step 1

Write the given ratios in fraction form

7:24 =

724

y:24 =

y48

step 2

Find the Means & Extremes

7 x 48 = y x 24

Extremes = 7, 48

Means = 24, y

724

=

y48

Extremes = 7, 48

Means = 24, y

step 3

Rearrange the statement to find y

y = 14

y =

7 x 4824

step 4

The missing term in the proportion is 14

Therefore the proportion is 7:24 = 14:48

Therefore the proportion is 7:24 = 14:48

9

Find the value of x in the proportion

16: 5 = 48:15

step 1

Write the given ratios in fraction form

16:y =

16y

48:15 =

4815

step 2

Find the Means & Extremes

16 x 15 = 48 x y

Extremes = 16, 15

Means = 48, y

16y

=

4815

Extremes = 16, 15

Means = 48, y

step 3

Rearrange the statement to find y

y = 5

y =

16 x 1548

step 4

The missing term in the proportion is 5

Therefore the proportion is 16: 5 = 48:15

Therefore the proportion is 16: 5 = 48:15

10

Find the value of x in the proportion

2:7 = 18:63

step 1

Write the given ratios in fraction form

2:7 =

27

18:y =

18y

step 2

Find the Means & Extremes

2 x y = 18 x 7

Extremes = 2, y

Means = 18, 7

27

=

18y

Extremes = 2, y

Means = 18, 7

step 3

Rearrange the statement to find y

y = 63

y =

18 x 72

step 4

The missing term in the proportion is 63

Therefore the proportion is 2:7 = 18:63

Therefore the proportion is 2:7 = 18:63