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Finding the Fourth Proportional to 19,693.97, 29,540.34 and 4,902.87

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Solution

The fourth proportional to 19,693.97, 29,540.34 and 4,902.87 is: 7,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.97 : 29,540.34 = 4,902.87 : x
  2. Step 2: Convert to fraction form
    19,693.97/29,540.34 = 4,902.87/x
  3. Step 3: Cross multiply
    19,693.97x = 29,540.34 × 4,902.87
  4. Step 4: Simplify right side
    19,693.97x = 144,832,446.78
  5. Step 5: Solve for x
    x = 144,832,446.78/19,693.97
  6. Step 6: Final answer
    x = 7,354.15

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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.