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Question
There is a number in the box `square` such that `square`, 24, 9, 12 are in proportion. The number in the box is ______.
Solution
There is a number in the box `square` such that `square`, 24, 9, 12 are in proportion. The number in the box is 18.
Explanation:
Let the number in box is x, then x, 24, 9 and 12 are in proportion.
∴ x : 24 :: 9 : 12
⇒ `x/24 = 9/12` .....[∵ If a, b, c and d are in proportion, then `a/b = c/d`]
⇒ `x xx 12 = 24 xx 9` .....[By cross-multiplication]
⇒ `x = (24 xx 9)/12`
⇒ `x = 2 xx 9`
∴ x = 18
The number in the box is 18.
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