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Finding the Fourth Proportional to 3,787.68, 5,677.86 and 2,327.24

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Solution

The fourth proportional to 3,787.68, 5,677.86 and 2,327.24 is: 3,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.68 : 5,677.86 = 2,327.24 : x
  2. Step 2: Convert to fraction form
    3,787.68/5,677.86 = 2,327.24/x
  3. Step 3: Cross multiply
    3,787.68x = 5,677.86 × 2,327.24
  4. Step 4: Simplify right side
    3,787.68x = 13,213,742.91
  5. Step 5: Solve for x
    x = 13,213,742.91/3,787.68
  6. Step 6: Final answer
    x = 3,488.61

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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.