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Finding the Fourth Proportional to 3,787.38, 5,676.84 and 2,859.93

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Solution

The fourth proportional to 3,787.38, 5,676.84 and 2,859.93 is: 4,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.38 : 5,676.84 = 2,859.93 : x
  2. Step 2: Convert to fraction form
    3,787.38/5,676.84 = 2,859.93/x
  3. Step 3: Cross multiply
    3,787.38x = 5,676.84 × 2,859.93
  4. Step 4: Simplify right side
    3,787.38x = 16,235,365.02
  5. Step 5: Solve for x
    x = 16,235,365.02/3,787.38
  6. Step 6: Final answer
    x = 4,286.70

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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.