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Finding the Fourth Proportional to 11,906.47, 17,859.85 and 8,207.71

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Solution

The fourth proportional to 11,906.47, 17,859.85 and 8,207.71 is: 12,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.47 : 17,859.85 = 8,207.71 : x
  2. Step 2: Convert to fraction form
    11,906.47/17,859.85 = 8,207.71/x
  3. Step 3: Cross multiply
    11,906.47x = 17,859.85 × 8,207.71
  4. Step 4: Simplify right side
    11,906.47x = 146,588,469.44
  5. Step 5: Solve for x
    x = 146,588,469.44/11,906.47
  6. Step 6: Final answer
    x = 12,311.66

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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.