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Finding the Fourth Proportional to 3,937.52, 5,906.30 and 1,015.61

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Solution

The fourth proportional to 3,937.52, 5,906.30 and 1,015.61 is: 1,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.52 : 5,906.30 = 1,015.61 : x
  2. Step 2: Convert to fraction form
    3,937.52/5,906.30 = 1,015.61/x
  3. Step 3: Cross multiply
    3,937.52x = 5,906.30 × 1,015.61
  4. Step 4: Simplify right side
    3,937.52x = 5,998,462.73
  5. Step 5: Solve for x
    x = 5,998,462.73/3,937.52
  6. Step 6: Final answer
    x = 1,523.41

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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.