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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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