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Finding the Fourth Proportional to 3,865.97, 5,793.71 and 1,781.39

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Solution

The fourth proportional to 3,865.97, 5,793.71 and 1,781.39 is: 2,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.97 : 5,793.71 = 1,781.39 : x
  2. Step 2: Convert to fraction form
    3,865.97/5,793.71 = 1,781.39/x
  3. Step 3: Cross multiply
    3,865.97x = 5,793.71 × 1,781.39
  4. Step 4: Simplify right side
    3,865.97x = 10,320,819.18
  5. Step 5: Solve for x
    x = 10,320,819.18/3,865.97
  6. Step 6: Final answer
    x = 2,669.66

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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.