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Finding the Fourth Proportional to 8,138.80, 12,204.16 and 2,591.42

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Solution

The fourth proportional to 8,138.80, 12,204.16 and 2,591.42 is: 3,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.80 : 12,204.16 = 2,591.42 : x
  2. Step 2: Convert to fraction form
    8,138.80/12,204.16 = 2,591.42/x
  3. Step 3: Cross multiply
    8,138.80x = 12,204.16 × 2,591.42
  4. Step 4: Simplify right side
    8,138.80x = 31,626,104.31
  5. Step 5: Solve for x
    x = 31,626,104.31/8,138.80
  6. Step 6: Final answer
    x = 3,885.84

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1.5x scale

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.