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Finding the Fourth Proportional to 8,561.28, 12,841.80 and 2,717.80

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Solution

The fourth proportional to 8,561.28, 12,841.80 and 2,717.80 is: 4,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.28 : 12,841.80 = 2,717.80 : x
  2. Step 2: Convert to fraction form
    8,561.28/12,841.80 = 2,717.80/x
  3. Step 3: Cross multiply
    8,561.28x = 12,841.80 × 2,717.80
  4. Step 4: Simplify right side
    8,561.28x = 34,901,444.04
  5. Step 5: Solve for x
    x = 34,901,444.04/8,561.28
  6. Step 6: Final answer
    x = 4,076.66

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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.