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Finding the Fourth Proportional to 8,049.62, 12,076.05 and 2,855.90

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Solution

The fourth proportional to 8,049.62, 12,076.05 and 2,855.90 is: 4,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.62 : 12,076.05 = 2,855.90 : x
  2. Step 2: Convert to fraction form
    8,049.62/12,076.05 = 2,855.90/x
  3. Step 3: Cross multiply
    8,049.62x = 12,076.05 × 2,855.90
  4. Step 4: Simplify right side
    8,049.62x = 34,487,991.20
  5. Step 5: Solve for x
    x = 34,487,991.20/8,049.62
  6. Step 6: Final answer
    x = 4,284.42

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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.