Ratios, Rates, And Proportions Worksheet With Answers Page 7
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16Applications
Proportions can be used to solve many application problems. Consider the following example.
Example 8
The distance between City A and City B is 270 miles. On a certain map, this distance is
scaled down to 4.5 inches. If the distance between City B and City C on the same map is 12
inches, what is the actual distance between City B and City C?
Solution:
Let
be the actual distance between City B and City C in miles. Since the ratio of actual
distance to the distance on the map should be the same between any two cities, we can set
up a proportion as follows:
By cross-multiplying, we get:
So…
. The actual distance between City B and City C is 720 miles.
Try this!
Suppose you want to enlarge a 4-inch by 6-inch photograph to a poster. If you want the
shorter edge of the enlarged poster to be 26 inches, how long is the longer edge of the
poster?
Answer: 39 inches
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