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Finding the Fourth Proportional to 11,232.50, 16,834.05 and 8,122.91

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Solution

The fourth proportional to 11,232.50, 16,834.05 and 8,122.91 is: 12,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.50 : 16,834.05 = 8,122.91 : x
  2. Step 2: Convert to fraction form
    11,232.50/16,834.05 = 8,122.91/x
  3. Step 3: Cross multiply
    11,232.50x = 16,834.05 × 8,122.91
  4. Step 4: Simplify right side
    11,232.50x = 136,741,388.92
  5. Step 5: Solve for x
    x = 136,741,388.92/11,232.50
  6. Step 6: Final answer
    x = 12,173.73

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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.