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Finding the Fourth Proportional to 5,221.31, 7,205.27 and 2,831.15

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Solution

The fourth proportional to 5,221.31, 7,205.27 and 2,831.15 is: 3,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.31 : 7,205.27 = 2,831.15 : x
  2. Step 2: Convert to fraction form
    5,221.31/7,205.27 = 2,831.15/x
  3. Step 3: Cross multiply
    5,221.31x = 7,205.27 × 2,831.15
  4. Step 4: Simplify right side
    5,221.31x = 20,399,171.21
  5. Step 5: Solve for x
    x = 20,399,171.21/5,221.31
  6. Step 6: Final answer
    x = 3,906.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.