Find the nbsp-fourth proportion nbsp-to 1-2- nbsp-1-6 and nbsp-7-2- 2-6-6-9-5-4-9-6-

The correct option is A 2.6 Let the fourth proportion nbsp;be x. Then, 1.2, nbsp;1.6, 7.2, x are in proportion. Product of means = Product of extremes ⇒ 1 ...

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Standard VII

Mathematics

Continued Proportion

Find the nb...

Question

Find the fourth proportion to 1.2, 1.6 and 7.2.

9.6

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6.9

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5.4

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2.6

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Solution

The correct option is D
2.6

Let the fourth proportion be $x$ .
Then, 1.2, 1.6, 7.2, $x$ are in proportion.

Product of means = Product of extremes
$\Rightarrow 1.6 \times 7.2 = x \times 1.2$
$\Rightarrow 1.2 x = 1.6 \times 7.2$
$\Rightarrow x = \frac{1.6 \times 7.2}{1.2}$
$\Rightarrow x = 9.6$

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Find the fourth proportion to 1.2, 1.6 and 7.2.

The correct option is D 2.6 Let the fourth proportion be x. Then, 1.2, 1.6, 7.2, x are in proportion. Product of means = Product of extremes ⇒1.6×7.2=x×1.2 ⇒ 1.2x=1.6×7.2 ⇒ x=1.6×7.21.2 ⇒ x=9.6

The correct option is D
2.6

Let the fourth proportion be $x$ .
Then, 1.2, 1.6, 7.2, $x$ are in proportion.

Product of means = Product of extremes
$\Rightarrow 1.6 \times 7.2 = x \times 1.2$
$\Rightarrow 1.2 x = 1.6 \times 7.2$
$\Rightarrow x = \frac{1.6 \times 7.2}{1.2}$
$\Rightarrow x = 9.6$