4. If ( 28-x) is a mean proportional of ( 23-x) and ( 19-x) then find the value of x?
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Answer:
347/14
Step-by-step explanation:
If a, b and c are in proportional:
a/b = b/c or ac = b²
⇒ √ac = b
Where b is the mean proportional of a and c.
Here,
⇒ √(23 - x )(19 - x) = (28 - x)
⇒ (23 - x)(19 - x) = (28 - x)²
⇒ 437 - 23x - 19x + x² = 784 + x² - 56x
⇒ 56x - 42x = 784 - 437
⇒ x = 347/14
∴ value of x is 347/14
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