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Finding the Fourth Proportional to 2,545.98, 3,819.14 and 791.15

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Solution

The fourth proportional to 2,545.98, 3,819.14 and 791.15 is: 1,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.98 : 3,819.14 = 791.15 : x
  2. Step 2: Convert to fraction form
    2,545.98/3,819.14 = 791.15/x
  3. Step 3: Cross multiply
    2,545.98x = 3,819.14 × 791.15
  4. Step 4: Simplify right side
    2,545.98x = 3,021,489.56
  5. Step 5: Solve for x
    x = 3,021,489.56/2,545.98
  6. Step 6: Final answer
    x = 1,186.77

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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.