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Finding the Fourth Proportional to 3,131.64, 4,697.29 and 791.64

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Solution

The fourth proportional to 3,131.64, 4,697.29 and 791.64 is: 1,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.64 : 4,697.29 = 791.64 : x
  2. Step 2: Convert to fraction form
    3,131.64/4,697.29 = 791.64/x
  3. Step 3: Cross multiply
    3,131.64x = 4,697.29 × 791.64
  4. Step 4: Simplify right side
    3,131.64x = 3,718,562.66
  5. Step 5: Solve for x
    x = 3,718,562.66/3,131.64
  6. Step 6: Final answer
    x = 1,187.42

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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.