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Finding the Fourth Proportional to 3,787.62, 5,681.18 and 1,814.66

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Solution

The fourth proportional to 3,787.62, 5,681.18 and 1,814.66 is: 2,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.62 : 5,681.18 = 1,814.66 : x
  2. Step 2: Convert to fraction form
    3,787.62/5,681.18 = 1,814.66/x
  3. Step 3: Cross multiply
    3,787.62x = 5,681.18 × 1,814.66
  4. Step 4: Simplify right side
    3,787.62x = 10,309,410.10
  5. Step 5: Solve for x
    x = 10,309,410.10/3,787.62
  6. Step 6: Final answer
    x = 2,721.87

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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.