State which of the following are in proportions.
(iii) $10 : 21 : : 4 : 8.4$

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Solution

Checking the proportionality.
If four numbers $x, y, z, w$ are in proportion i.e. $x : y : : z : w$ , then the product of extremes is equal to the product of means i.e. $x w = y z$ .
In the given expression, $x = 10, y = 21, z = 4, w = 8.4$ .
Now, $x w = 10 \times 8.4$ $= 84$ and $y z = 21 \times 4$ $= 84$ .
Therefore, it can be concluded that $x w = y z$ .
Final Answer: Hence, the given expression represents a proportion.

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