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Finding the Fourth Proportional to 8,031.62, 12,045.11 and 2,766.41

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Solution

The fourth proportional to 8,031.62, 12,045.11 and 2,766.41 is: 4,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.62 : 12,045.11 = 2,766.41 : x
  2. Step 2: Convert to fraction form
    8,031.62/12,045.11 = 2,766.41/x
  3. Step 3: Cross multiply
    8,031.62x = 12,045.11 × 2,766.41
  4. Step 4: Simplify right side
    8,031.62x = 33,321,742.87
  5. Step 5: Solve for x
    x = 33,321,742.87/8,031.62
  6. Step 6: Final answer
    x = 4,148.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.