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Finding the Fourth Proportional to 12,931.62, 17,838.13 and 8,149.69

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Solution

The fourth proportional to 12,931.62, 17,838.13 and 8,149.69 is: 11,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.62 : 17,838.13 = 8,149.69 : x
  2. Step 2: Convert to fraction form
    12,931.62/17,838.13 = 8,149.69/x
  3. Step 3: Cross multiply
    12,931.62x = 17,838.13 × 8,149.69
  4. Step 4: Simplify right side
    12,931.62x = 145,375,229.68
  5. Step 5: Solve for x
    x = 145,375,229.68/12,931.62
  6. Step 6: Final answer
    x = 11,241.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.