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Finding the Fourth Proportional to 14,761.38, 20,369.90 and 8,473.76

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Solution

The fourth proportional to 14,761.38, 20,369.90 and 8,473.76 is: 11,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.38 : 20,369.90 = 8,473.76 : x
  2. Step 2: Convert to fraction form
    14,761.38/20,369.90 = 8,473.76/x
  3. Step 3: Cross multiply
    14,761.38x = 20,369.90 × 8,473.76
  4. Step 4: Simplify right side
    14,761.38x = 172,609,563.16
  5. Step 5: Solve for x
    x = 172,609,563.16/14,761.38
  6. Step 6: Final answer
    x = 11,693.32

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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.