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Finding the Fourth Proportional to 3,221.09, 4,831.31 and 881.31

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Solution

The fourth proportional to 3,221.09, 4,831.31 and 881.31 is: 1,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.09 : 4,831.31 = 881.31 : x
  2. Step 2: Convert to fraction form
    3,221.09/4,831.31 = 881.31/x
  3. Step 3: Cross multiply
    3,221.09x = 4,831.31 × 881.31
  4. Step 4: Simplify right side
    3,221.09x = 4,257,881.82
  5. Step 5: Solve for x
    x = 4,257,881.82/3,221.09
  6. Step 6: Final answer
    x = 1,321.88

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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.