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Finding the Fourth Proportional to 2,641.20, 3,961.10 and 791.88

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Solution

The fourth proportional to 2,641.20, 3,961.10 and 791.88 is: 1,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.20 : 3,961.10 = 791.88 : x
  2. Step 2: Convert to fraction form
    2,641.20/3,961.10 = 791.88/x
  3. Step 3: Cross multiply
    2,641.20x = 3,961.10 × 791.88
  4. Step 4: Simplify right side
    2,641.20x = 3,136,715.87
  5. Step 5: Solve for x
    x = 3,136,715.87/2,641.20
  6. Step 6: Final answer
    x = 1,187.61

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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.