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Finding the Fourth Proportional to 2,640.44, 3,961.32 and 791.55

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Solution

The fourth proportional to 2,640.44, 3,961.32 and 791.55 is: 1,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.44 : 3,961.32 = 791.55 : x
  2. Step 2: Convert to fraction form
    2,640.44/3,961.32 = 791.55/x
  3. Step 3: Cross multiply
    2,640.44x = 3,961.32 × 791.55
  4. Step 4: Simplify right side
    2,640.44x = 3,135,582.85
  5. Step 5: Solve for x
    x = 3,135,582.85/2,640.44
  6. Step 6: Final answer
    x = 1,187.53

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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.