Question

Find the value of x so that :5, 15, x, x+8 are proportional. ​

Answer 1

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Find the value of x so that :5, 15, x, x+8 are proportional...?

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✏x=4

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$\large{ \sf{ \mapsto{ \purple{u \: must \: know...}}}} \\ \\ \large{ \sf{the \: relation \: of \: means \: and \: extremes \: in \: proportion}} \\ \\ \large{ \star{ \boxed{ \sf{ \green{product \: of \: means = product \: of \: extremes}}}}} \\ \\ : \large{ \sf{ \implies{here \: means \: are \: 15 \: and \: x}}} \\ \\ : \large{ \sf{ \implies{and \: extremes \: are \: 5 \: and \: x + 8}}} \\ \\ \large{ \sf{ \mapsto{ \purple{by \: using \: formula}}}} \\ \\ : \large{ \sf{ \implies{15x = 5(x + 8)}}} \\ \\ : \large{ \sf{ \implies{15x = 5x + 40}}} \\ \\ : \large{ \sf{ \implies{10x = 40}}} \\ \\: \large{ \sf{ \implies{x = \frac{40}{10}}}} \\ \\ : \large{ \sf{ \implies \boxed{ \green{x = 4}}}}$

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$\large{ \bold{ \pink{ \underline{required \: answer \: is \: 4}}}}$

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✒A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. ...

✒To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.