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Finding the Fourth Proportional to 2,658.61, 3,987.31 and 809.38

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Solution

The fourth proportional to 2,658.61, 3,987.31 and 809.38 is: 1,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.61 : 3,987.31 = 809.38 : x
  2. Step 2: Convert to fraction form
    2,658.61/3,987.31 = 809.38/x
  3. Step 3: Cross multiply
    2,658.61x = 3,987.31 × 809.38
  4. Step 4: Simplify right side
    2,658.61x = 3,227,248.97
  5. Step 5: Solve for x
    x = 3,227,248.97/2,658.61
  6. Step 6: Final answer
    x = 1,213.89

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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.