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Finding the Fourth Proportional to 2,640.95, 3,960.25 and 791.71

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Solution

The fourth proportional to 2,640.95, 3,960.25 and 791.71 is: 1,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.95 : 3,960.25 = 791.71 : x
  2. Step 2: Convert to fraction form
    2,640.95/3,960.25 = 791.71/x
  3. Step 3: Cross multiply
    2,640.95x = 3,960.25 × 791.71
  4. Step 4: Simplify right side
    2,640.95x = 3,135,369.53
  5. Step 5: Solve for x
    x = 3,135,369.53/2,640.95
  6. Step 6: Final answer
    x = 1,187.21

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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.