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Finding the Fourth Proportional to 8,065.68, 12,101.88 and 3,138.78

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Solution

The fourth proportional to 8,065.68, 12,101.88 and 3,138.78 is: 4,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.68 : 12,101.88 = 3,138.78 : x
  2. Step 2: Convert to fraction form
    8,065.68/12,101.88 = 3,138.78/x
  3. Step 3: Cross multiply
    8,065.68x = 12,101.88 × 3,138.78
  4. Step 4: Simplify right side
    8,065.68x = 37,985,138.91
  5. Step 5: Solve for x
    x = 37,985,138.91/8,065.68
  6. Step 6: Final answer
    x = 4,709.48

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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.