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Finding the Fourth Proportional to 2,640.89, 3,961.60 and 791.79

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Solution

The fourth proportional to 2,640.89, 3,961.60 and 791.79 is: 1,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.89 : 3,961.60 = 791.79 : x
  2. Step 2: Convert to fraction form
    2,640.89/3,961.60 = 791.79/x
  3. Step 3: Cross multiply
    2,640.89x = 3,961.60 × 791.79
  4. Step 4: Simplify right side
    2,640.89x = 3,136,755.26
  5. Step 5: Solve for x
    x = 3,136,755.26/2,640.89
  6. Step 6: Final answer
    x = 1,187.76

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1.5x scale

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.