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Finding the Fourth Proportional to 8,100.48, 12,156 and 6,121.92

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Solution

The fourth proportional to 8,100.48, 12,156 and 6,121.92 is: 9,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.48 : 12,156 = 6,121.92 : x
  2. Step 2: Convert to fraction form
    8,100.48/12,156 = 6,121.92/x
  3. Step 3: Cross multiply
    8,100.48x = 12,156 × 6,121.92
  4. Step 4: Simplify right side
    8,100.48x = 74,418,059.52
  5. Step 5: Solve for x
    x = 74,418,059.52/8,100.48
  6. Step 6: Final answer
    x = 9,186.87

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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.