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Finding the Fourth Proportional to 21,449.76, 32,149.76 and 12,692

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Solution

The fourth proportional to 21,449.76, 32,149.76 and 12,692 is: 19,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.76 : 32,149.76 = 12,692 : x
  2. Step 2: Convert to fraction form
    21,449.76/32,149.76 = 12,692/x
  3. Step 3: Cross multiply
    21,449.76x = 32,149.76 × 12,692
  4. Step 4: Simplify right side
    21,449.76x = 408,044,753.92
  5. Step 5: Solve for x
    x = 408,044,753.92/21,449.76
  6. Step 6: Final answer
    x = 19,023.28

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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.