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

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

​$$\frac{a}{b} = \frac{c}{d}$$​​

Solution: 

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

7.5 × x = 16 × 19.5

7.5x = 16 × 19.5 = 312

x = $$\frac{312}{7.5} = 41.6$$​​