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Finding the Fourth Proportional to 21,821.76, 32,747.76 and 8,672.76

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Solution

The fourth proportional to 21,821.76, 32,747.76 and 8,672.76 is: 13,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821.76 : 32,747.76 = 8,672.76 : x
  2. Step 2: Convert to fraction form
    21,821.76/32,747.76 = 8,672.76/x
  3. Step 3: Cross multiply
    21,821.76x = 32,747.76 × 8,672.76
  4. Step 4: Simplify right side
    21,821.76x = 284,013,463.02
  5. Step 5: Solve for x
    x = 284,013,463.02/21,821.76
  6. Step 6: Final answer
    x = 13,015.15

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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.