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Finding the Fourth Proportional to 11,906.70, 17,865.89 and 8,419.11

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Solution

The fourth proportional to 11,906.70, 17,865.89 and 8,419.11 is: 12,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.70 : 17,865.89 = 8,419.11 : x
  2. Step 2: Convert to fraction form
    11,906.70/17,865.89 = 8,419.11/x
  3. Step 3: Cross multiply
    11,906.70x = 17,865.89 × 8,419.11
  4. Step 4: Simplify right side
    11,906.70x = 150,414,990.06
  5. Step 5: Solve for x
    x = 150,414,990.06/11,906.70
  6. Step 6: Final answer
    x = 12,632.81

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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.