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If 7.5 : 19.5 :: 16 : x, find the value of x.
Question

If 7.5 : 19.5 :: 16 : x, find the value of x.

A.

39.4

B.

41.1

C.

41.6

D.

45.1

Correct option is C

Given:

The proportion is 7.5 : 19.5 :: 16 : x

Concept Used:

The concept of proportions states that if a : b = c : d, then

ab=cd\frac{a}{b} = \frac{c}{d}​​

Solution: 

7.519.5=16x\frac{7.5}{19.5} = \frac{16}{x}​​

7.5 × x = 16 × 19.5

7.5x = 16 × 19.5 = 312

x = 3127.5=41.6\frac{312}{7.5} = 41.6​​

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