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Finding the Fourth Proportional to 14,761.76, 20,370 and 8,472.80

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Solution

The fourth proportional to 14,761.76, 20,370 and 8,472.80 is: 11,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.76 : 20,370 = 8,472.80 : x
  2. Step 2: Convert to fraction form
    14,761.76/20,370 = 8,472.80/x
  3. Step 3: Cross multiply
    14,761.76x = 20,370 × 8,472.80
  4. Step 4: Simplify right side
    14,761.76x = 172,590,936
  5. Step 5: Solve for x
    x = 172,590,936/14,761.76
  6. Step 6: Final answer
    x = 11,691.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.