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Finding the Fourth Proportional to 13,620.92, 20,472.15 and 11,296.22

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Solution

The fourth proportional to 13,620.92, 20,472.15 and 11,296.22 is: 16,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.92 : 20,472.15 = 11,296.22 : x
  2. Step 2: Convert to fraction form
    13,620.92/20,472.15 = 11,296.22/x
  3. Step 3: Cross multiply
    13,620.92x = 20,472.15 × 11,296.22
  4. Step 4: Simplify right side
    13,620.92x = 231,257,910.27
  5. Step 5: Solve for x
    x = 231,257,910.27/13,620.92
  6. Step 6: Final answer
    x = 16,978.14

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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.