By LearningExpress Editors
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
 True; each cross product is equal to 90.
 False; the cross products are 39 and 48, and they are not equal.
 False; use x = 4 to make it a true proportion.
 True. When x = 5, each of the cross products is 120.
Practice 2
Problems
 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?
 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?
 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
 The proportion could be set up as:
 The proportion could be set up as:
 The proportion could be set up as:
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.
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.
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
 Justine ran the first 6 miles of a 10mile race in 48 minutes. At this pace, how long will it take her to run the entire 10 miles?
 Harold makes $204 when he works a shift of 5 hours. How long does he need to work in order to make $326.40?
 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?
 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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