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Finding the Fourth Proportional to 51,843, 71,546.58 and 29,487

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Solution

The fourth proportional to 51,843, 71,546.58 and 29,487 is: 40,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,843 : 71,546.58 = 29,487 : x
  2. Step 2: Convert to fraction form
    51,843/71,546.58 = 29,487/x
  3. Step 3: Cross multiply
    51,843x = 71,546.58 × 29,487
  4. Step 4: Simplify right side
    51,843x = 2,109,694,004.46
  5. Step 5: Solve for x
    x = 2,109,694,004.46/51,843
  6. Step 6: Final answer
    x = 40,693.90

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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.