Finding the Fourth Proportional to 2,565.62, 3,848.92 and 922.10
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Solution
The fourth proportional to 2,565.62, 3,848.92 and 922.10 is: 1,383.33
Step by Step Solution
- Step 1: Write the proportion equation
2,565.62 : 3,848.92 = 922.10 : x - Step 2: Convert to fraction form
2,565.62/3,848.92 = 922.10/x - Step 3: Cross multiply
2,565.62x = 3,848.92 × 922.10 - Step 4: Simplify right side
2,565.62x = 3,549,089.13 - Step 5: Solve for x
x = 3,549,089.13/2,565.62 - Step 6: Final answer
x = 1,383.33
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.