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Finding the Fourth Proportional to 29,137, 43,693.45 and 9,139.82

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Solution

The fourth proportional to 29,137, 43,693.45 and 9,139.82 is: 13,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137 : 43,693.45 = 9,139.82 : x
  2. Step 2: Convert to fraction form
    29,137/43,693.45 = 9,139.82/x
  3. Step 3: Cross multiply
    29,137x = 43,693.45 × 9,139.82
  4. Step 4: Simplify right side
    29,137x = 399,350,222.48
  5. Step 5: Solve for x
    x = 399,350,222.48/29,137
  6. Step 6: Final answer
    x = 13,705.95

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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.