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Finding the Fourth Proportional to 8,540.77, 12,806.49 and 3,855.28

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Solution

The fourth proportional to 8,540.77, 12,806.49 and 3,855.28 is: 5,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.77 : 12,806.49 = 3,855.28 : x
  2. Step 2: Convert to fraction form
    8,540.77/12,806.49 = 3,855.28/x
  3. Step 3: Cross multiply
    8,540.77x = 12,806.49 × 3,855.28
  4. Step 4: Simplify right side
    8,540.77x = 49,372,604.77
  5. Step 5: Solve for x
    x = 49,372,604.77/8,540.77
  6. Step 6: Final answer
    x = 5,780.81

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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.