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Finding the Fourth Proportional to 47,982, 71,993.84 and 25,769.52

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Solution

The fourth proportional to 47,982, 71,993.84 and 25,769.52 is: 38,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,982 : 71,993.84 = 25,769.52 : x
  2. Step 2: Convert to fraction form
    47,982/71,993.84 = 25,769.52/x
  3. Step 3: Cross multiply
    47,982x = 71,993.84 × 25,769.52
  4. Step 4: Simplify right side
    47,982x = 1,855,246,699.76
  5. Step 5: Solve for x
    x = 1,855,246,699.76/47,982
  6. Step 6: Final answer
    x = 38,665.47

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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.