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Finding the Fourth Proportional to 27,803.28, 41,707.20 and 8,081.82

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Solution

The fourth proportional to 27,803.28, 41,707.20 and 8,081.82 is: 12,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.28 : 41,707.20 = 8,081.82 : x
  2. Step 2: Convert to fraction form
    27,803.28/41,707.20 = 8,081.82/x
  3. Step 3: Cross multiply
    27,803.28x = 41,707.20 × 8,081.82
  4. Step 4: Simplify right side
    27,803.28x = 337,070,113.41
  5. Step 5: Solve for x
    x = 337,070,113.41/27,803.28
  6. Step 6: Final answer
    x = 12,123.39

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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.