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Finding the Fourth Proportional to 8,138.61, 12,209.13 and 3,757.32

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Solution

The fourth proportional to 8,138.61, 12,209.13 and 3,757.32 is: 5,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.61 : 12,209.13 = 3,757.32 : x
  2. Step 2: Convert to fraction form
    8,138.61/12,209.13 = 3,757.32/x
  3. Step 3: Cross multiply
    8,138.61x = 12,209.13 × 3,757.32
  4. Step 4: Simplify right side
    8,138.61x = 45,873,608.33
  5. Step 5: Solve for x
    x = 45,873,608.33/8,138.61
  6. Step 6: Final answer
    x = 5,636.54

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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.