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Finding the Fourth Proportional to 3,656.91, 5,480.09 and 2,831.31

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Solution

The fourth proportional to 3,656.91, 5,480.09 and 2,831.31 is: 4,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.91 : 5,480.09 = 2,831.31 : x
  2. Step 2: Convert to fraction form
    3,656.91/5,480.09 = 2,831.31/x
  3. Step 3: Cross multiply
    3,656.91x = 5,480.09 × 2,831.31
  4. Step 4: Simplify right side
    3,656.91x = 15,515,833.62
  5. Step 5: Solve for x
    x = 15,515,833.62/3,656.91
  6. Step 6: Final answer
    x = 4,242.88

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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.