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Finding the Fourth Proportional to 3,131.87, 4,697.71 and 791.87

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Solution

The fourth proportional to 3,131.87, 4,697.71 and 791.87 is: 1,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.87 : 4,697.71 = 791.87 : x
  2. Step 2: Convert to fraction form
    3,131.87/4,697.71 = 791.87/x
  3. Step 3: Cross multiply
    3,131.87x = 4,697.71 × 791.87
  4. Step 4: Simplify right side
    3,131.87x = 3,719,975.62
  5. Step 5: Solve for x
    x = 3,719,975.62/3,131.87
  6. Step 6: Final answer
    x = 1,187.78

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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.