The given property $a : b :: c : d$ then $(a - b) : b :: (c - d) : d .$ is known as

Alternendo property

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Dividendo property

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Componendo property

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Invertendo Property

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Solution

The correct option is A Dividendo property
If $\frac{a}{b} = \frac{c}{d},$ then by dividendo property
$\frac{a - b}{b} = \frac{c - d}{d} \Rightarrow (a - b) : b :: (c - d) : d$

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Given that a:b::c:d, then which of the following follows Componendo and Dividendo property?

For four numbers a, b, c, d if a : b = c : d, then a : c = b : d. Which property of proportion is this?

a : b = c : d = e : f

(a + c + e) : (b + d + f)

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