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Finding the Fourth Proportional to 19,677.13, 29,489.74 and 7,983.97

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Solution

The fourth proportional to 19,677.13, 29,489.74 and 7,983.97 is: 11,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677.13 : 29,489.74 = 7,983.97 : x
  2. Step 2: Convert to fraction form
    19,677.13/29,489.74 = 7,983.97/x
  3. Step 3: Cross multiply
    19,677.13x = 29,489.74 × 7,983.97
  4. Step 4: Simplify right side
    19,677.13x = 235,445,105.78
  5. Step 5: Solve for x
    x = 235,445,105.78/19,677.13
  6. Step 6: Final answer
    x = 11,965.42

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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.