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Finding the Fourth Proportional to 2,167.65, 3,251.88 and 781.83

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Solution

The fourth proportional to 2,167.65, 3,251.88 and 781.83 is: 1,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.65 : 3,251.88 = 781.83 : x
  2. Step 2: Convert to fraction form
    2,167.65/3,251.88 = 781.83/x
  3. Step 3: Cross multiply
    2,167.65x = 3,251.88 × 781.83
  4. Step 4: Simplify right side
    2,167.65x = 2,542,417.34
  5. Step 5: Solve for x
    x = 2,542,417.34/2,167.65
  6. Step 6: Final answer
    x = 1,172.89

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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.