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Finding the Fourth Proportional to 19,659.72, 29,472.96 and 7,981.14

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Solution

The fourth proportional to 19,659.72, 29,472.96 and 7,981.14 is: 11,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659.72 : 29,472.96 = 7,981.14 : x
  2. Step 2: Convert to fraction form
    19,659.72/29,472.96 = 7,981.14/x
  3. Step 3: Cross multiply
    19,659.72x = 29,472.96 × 7,981.14
  4. Step 4: Simplify right side
    19,659.72x = 235,227,819.97
  5. Step 5: Solve for x
    x = 235,227,819.97/19,659.72
  6. Step 6: Final answer
    x = 11,964.96

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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.