Four numbers a, b, c, d are in proportion. If a = 32, b = 72, and c = 180, what is the value of d?
405
Four numbers a, b, c, d are in proportion means \(\dfrac{a}{b} = \dfrac{c}{d}\), so d is the fourth proportional to a, b, c.
Cross-multiplying gives \(a \cdot d = b \cdot c\), hence \(d = \dfrac{b \cdot c}{a}\).
Substitute a = 32, b = 72, c = 180: \(d = \dfrac{72 \times 180}{32} = \dfrac{12960}{32}\).
Divide: \(d = 405\).
Hence, the value of d is 405.
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Important Questions from Fourth Proportional
The fourth proportional to the numbers 5, 6 and 8 is:
What is the fourth proportional to the numbers 50, 35 and 20?
If 162 ∶ x ∶∶ x ∶ 338, find the positive value of x.
The fourth proportional of 10, 15 and 30 is:
The fourth proportional to 3, 12, 14 is:
