Question
Find the fourth proportional to the number: $8, 36, 6$
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Answer
Let $x$ be the fourth proportional,
then: $8:36::6:\text{x}$
$\therefore8\times\text{x}=36\times6$
$\Rightarrow\text{x}=\frac{36\times6}{8}$
$\text{x}=9\times3=27$
$\therefore$ Fourth proportional $= 27$
then: $8:36::6:\text{x}$
$\therefore8\times\text{x}=36\times6$
$\Rightarrow\text{x}=\frac{36\times6}{8}$
$\text{x}=9\times3=27$
$\therefore$ Fourth proportional $= 27$
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