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Finding the Fourth Proportional to 1,227.41, 1,839.92 and 787.42

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Solution

The fourth proportional to 1,227.41, 1,839.92 and 787.42 is: 1,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.41 : 1,839.92 = 787.42 : x
  2. Step 2: Convert to fraction form
    1,227.41/1,839.92 = 787.42/x
  3. Step 3: Cross multiply
    1,227.41x = 1,839.92 × 787.42
  4. Step 4: Simplify right side
    1,227.41x = 1,448,780.61
  5. Step 5: Solve for x
    x = 1,448,780.61/1,227.41
  6. Step 6: Final answer
    x = 1,180.36

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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.