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Finding the Fourth Proportional to 11,704.50, 16,129.94 and 8,161.56

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Solution

The fourth proportional to 11,704.50, 16,129.94 and 8,161.56 is: 11,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.50 : 16,129.94 = 8,161.56 : x
  2. Step 2: Convert to fraction form
    11,704.50/16,129.94 = 8,161.56/x
  3. Step 3: Cross multiply
    11,704.50x = 16,129.94 × 8,161.56
  4. Step 4: Simplify right side
    11,704.50x = 131,645,432.30
  5. Step 5: Solve for x
    x = 131,645,432.30/11,704.50
  6. Step 6: Final answer
    x = 11,247.42

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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.