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Finding the Fourth Proportional to 3,787.13, 5,671.87 and 3,655.76

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Solution

The fourth proportional to 3,787.13, 5,671.87 and 3,655.76 is: 5,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.13 : 5,671.87 = 3,655.76 : x
  2. Step 2: Convert to fraction form
    3,787.13/5,671.87 = 3,655.76/x
  3. Step 3: Cross multiply
    3,787.13x = 5,671.87 × 3,655.76
  4. Step 4: Simplify right side
    3,787.13x = 20,734,957.97
  5. Step 5: Solve for x
    x = 20,734,957.97/3,787.13
  6. Step 6: Final answer
    x = 5,475.11

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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.