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Finding the Fourth Proportional to 2,640.48, 3,960.88 and 791.60

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Solution

The fourth proportional to 2,640.48, 3,960.88 and 791.60 is: 1,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.48 : 3,960.88 = 791.60 : x
  2. Step 2: Convert to fraction form
    2,640.48/3,960.88 = 791.60/x
  3. Step 3: Cross multiply
    2,640.48x = 3,960.88 × 791.60
  4. Step 4: Simplify right side
    2,640.48x = 3,135,432.61
  5. Step 5: Solve for x
    x = 3,135,432.61/2,640.48
  6. Step 6: Final answer
    x = 1,187.45

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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.