Question 57

Fourth proportion to 12, 18, 6 is equal to the third proportion to 4, k. What is the value of k?

Solution

Let the fourth proportion to 12, 18, 6 is 't'.

12 x t = 18 x 6

t = 9

According to the problem 't' is the third proportion to 4, k.

$$\frac{4}{k}$$ = $$\frac{k}{t}$$

$$\frac{4}{k}$$ = $$\frac{k}{9}$$

k$$^2$$ = 36

k = 6

Hence, the correct answer is Option A

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