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Finding the Fourth Proportional to 9,152.78, 13,729.17 and 2,227.22

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Solution

The fourth proportional to 9,152.78, 13,729.17 and 2,227.22 is: 3,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.78 : 13,729.17 = 2,227.22 : x
  2. Step 2: Convert to fraction form
    9,152.78/13,729.17 = 2,227.22/x
  3. Step 3: Cross multiply
    9,152.78x = 13,729.17 × 2,227.22
  4. Step 4: Simplify right side
    9,152.78x = 30,577,882.01
  5. Step 5: Solve for x
    x = 30,577,882.01/9,152.78
  6. Step 6: Final answer
    x = 3,340.83

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Similar ratio
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1.5x scale

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.