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Finding the Fourth Proportional to 11,221.20, 16,831.80 and 9,034.20

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Solution

The fourth proportional to 11,221.20, 16,831.80 and 9,034.20 is: 13,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.20 : 16,831.80 = 9,034.20 : x
  2. Step 2: Convert to fraction form
    11,221.20/16,831.80 = 9,034.20/x
  3. Step 3: Cross multiply
    11,221.20x = 16,831.80 × 9,034.20
  4. Step 4: Simplify right side
    11,221.20x = 152,061,847.56
  5. Step 5: Solve for x
    x = 152,061,847.56/11,221.20
  6. Step 6: Final answer
    x = 13,551.30

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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.