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# Proportion Word Problems Practice Questions

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To review these concepts, go to Proportion Word Problems Study Guide.

## Proportion Word Problems Practice Questions

### Practice 1

#### Problems

Circle true or false for each statement that follows.

 1 The proportion is a true proportion. True False 2 The proportion is a true proportion. True False 3 In the proportion , x = 3 makes a true proportion. True False 4 In the proportion , x = 5 makes a true proportion. True False

#### Solutions

1. True; each cross product is equal to 90.
2. False; the cross products are 39 and 48, and they are not equal.
3. False; use x = 4 to make it a true proportion.
4. True. When x = 5, each of the cross products is 120.

### Practice 2

#### Problems

1. If the scale on a map is 1 inch = 100 miles, what is the actual distance between two locations 3 inches apart on the map?
2. The scale on a map is inch = 15 miles. How far apart on a map are two cities that are actually located 150 miles apart?
3. The height of a window on a scale drawing is 1.5 inches. If the scale is 1 inch = 4 feet, what is the actual height of the window?

#### Solutions

1. The proportion could be set up as:
2. Cross multiply the means and the extremes, and solve the equation.

1x = 3 × 100
x = 300 miles

The actual distance between the two locations is 300 miles.

3. The proportion could be set up as:
4. Cross multiply the means and the extremes, and solve the equation.

15x = 75 miles
Divide each side of the equation by 15.
x = 5 inches

The distance on the map between the two locations is 5 inches.

5. The proportion could be set up as:
6. Cross multiply the means and the extremes, and solve the equation.

1x = 1.5 × 4
x = 6 feet

The actual height of the window is 6 feet.

### Practice 3

#### Problems

1. Justine ran the first 6 miles of a 10-mile race in 48 minutes. At this pace, how long will it take her to run the entire 10 miles?
2. Harold makes \$204 when he works a shift of 5 hours. How long does he need to work in order to make \$326.40?
3. The scale on a drawing is 1 inch = 12 inches. If the length of a wall on the drawing is 9 inches, what is the actual length of the wall?
4. The ratio of flour to salt in a recipe for molding dough is 4:1. If Sam is using 2 cups of salt in his mixture, how many cups of flour should he use?

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