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Finding the Fourth Proportional to 3,856.97, 5,772.12 and 2,375.61

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Solution

The fourth proportional to 3,856.97, 5,772.12 and 2,375.61 is: 3,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.97 : 5,772.12 = 2,375.61 : x
  2. Step 2: Convert to fraction form
    3,856.97/5,772.12 = 2,375.61/x
  3. Step 3: Cross multiply
    3,856.97x = 5,772.12 × 2,375.61
  4. Step 4: Simplify right side
    3,856.97x = 13,712,305.99
  5. Step 5: Solve for x
    x = 13,712,305.99/3,856.97
  6. Step 6: Final answer
    x = 3,555.21

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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.