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Finding the Fourth Proportional to 2,249.38, 3,372.04 and 787.87

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Solution

The fourth proportional to 2,249.38, 3,372.04 and 787.87 is: 1,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.38 : 3,372.04 = 787.87 : x
  2. Step 2: Convert to fraction form
    2,249.38/3,372.04 = 787.87/x
  3. Step 3: Cross multiply
    2,249.38x = 3,372.04 × 787.87
  4. Step 4: Simplify right side
    2,249.38x = 2,656,729.15
  5. Step 5: Solve for x
    x = 2,656,729.15/2,249.38
  6. Step 6: Final answer
    x = 1,181.09

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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.