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Finding the Fourth Proportional to 11,906.35, 16,435.02 and 8,126.81

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Solution

The fourth proportional to 11,906.35, 16,435.02 and 8,126.81 is: 11,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.35 : 16,435.02 = 8,126.81 : x
  2. Step 2: Convert to fraction form
    11,906.35/16,435.02 = 8,126.81/x
  3. Step 3: Cross multiply
    11,906.35x = 16,435.02 × 8,126.81
  4. Step 4: Simplify right side
    11,906.35x = 133,564,324.03
  5. Step 5: Solve for x
    x = 133,564,324.03/11,906.35
  6. Step 6: Final answer
    x = 11,217.90

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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.