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Finding the Fourth Proportional to 8,227.28, 12,342.20 and 2,754

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Solution

The fourth proportional to 8,227.28, 12,342.20 and 2,754 is: 4,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.28 : 12,342.20 = 2,754 : x
  2. Step 2: Convert to fraction form
    8,227.28/12,342.20 = 2,754/x
  3. Step 3: Cross multiply
    8,227.28x = 12,342.20 × 2,754
  4. Step 4: Simplify right side
    8,227.28x = 33,990,418.80
  5. Step 5: Solve for x
    x = 33,990,418.80/8,227.28
  6. Step 6: Final answer
    x = 4,131.43

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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.