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Finding the Fourth Proportional to 21,711.54, 32,566.08 and 8,381.95

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Solution

The fourth proportional to 21,711.54, 32,566.08 and 8,381.95 is: 12,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.54 : 32,566.08 = 8,381.95 : x
  2. Step 2: Convert to fraction form
    21,711.54/32,566.08 = 8,381.95/x
  3. Step 3: Cross multiply
    21,711.54x = 32,566.08 × 8,381.95
  4. Step 4: Simplify right side
    21,711.54x = 272,967,204.27
  5. Step 5: Solve for x
    x = 272,967,204.27/21,711.54
  6. Step 6: Final answer
    x = 12,572.45

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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.