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Finding the Fourth Proportional to 3,787.17, 5,658.99 and 2,892.78

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Solution

The fourth proportional to 3,787.17, 5,658.99 and 2,892.78 is: 4,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.17 : 5,658.99 = 2,892.78 : x
  2. Step 2: Convert to fraction form
    3,787.17/5,658.99 = 2,892.78/x
  3. Step 3: Cross multiply
    3,787.17x = 5,658.99 × 2,892.78
  4. Step 4: Simplify right side
    3,787.17x = 16,370,213.09
  5. Step 5: Solve for x
    x = 16,370,213.09/3,787.17
  6. Step 6: Final answer
    x = 4,322.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.