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Finding the Fourth Proportional to 3,171.78, 4,757.22 and 831.96

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Solution

The fourth proportional to 3,171.78, 4,757.22 and 831.96 is: 1,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.78 : 4,757.22 = 831.96 : x
  2. Step 2: Convert to fraction form
    3,171.78/4,757.22 = 831.96/x
  3. Step 3: Cross multiply
    3,171.78x = 4,757.22 × 831.96
  4. Step 4: Simplify right side
    3,171.78x = 3,957,816.75
  5. Step 5: Solve for x
    x = 3,957,816.75/3,171.78
  6. Step 6: Final answer
    x = 1,247.82

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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.