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Proportion Word Problems Practice Questions

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Updated on Oct 3, 2011

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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