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Finding the Fourth Proportional to 21,711.56, 32,566.07 and 8,381.95

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Solution

The fourth proportional to 21,711.56, 32,566.07 and 8,381.95 is: 12,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.56 : 32,566.07 = 8,381.95 : x
  2. Step 2: Convert to fraction form
    21,711.56/32,566.07 = 8,381.95/x
  3. Step 3: Cross multiply
    21,711.56x = 32,566.07 × 8,381.95
  4. Step 4: Simplify right side
    21,711.56x = 272,967,109.98
  5. Step 5: Solve for x
    x = 272,967,109.98/21,711.56
  6. Step 6: Final answer
    x = 12,572.43

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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.