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Finding the Fourth Proportional to 3,892.88, 5,831.04 and 3,149.30

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Solution

The fourth proportional to 3,892.88, 5,831.04 and 3,149.30 is: 4,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.88 : 5,831.04 = 3,149.30 : x
  2. Step 2: Convert to fraction form
    3,892.88/5,831.04 = 3,149.30/x
  3. Step 3: Cross multiply
    3,892.88x = 5,831.04 × 3,149.30
  4. Step 4: Simplify right side
    3,892.88x = 18,363,694.27
  5. Step 5: Solve for x
    x = 18,363,694.27/3,892.88
  6. Step 6: Final answer
    x = 4,717.25

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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.