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Finding the Fourth Proportional to 13,422.52, 18,520.09 and 8,117.22

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Solution

The fourth proportional to 13,422.52, 18,520.09 and 8,117.22 is: 11,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.52 : 18,520.09 = 8,117.22 : x
  2. Step 2: Convert to fraction form
    13,422.52/18,520.09 = 8,117.22/x
  3. Step 3: Cross multiply
    13,422.52x = 18,520.09 × 8,117.22
  4. Step 4: Simplify right side
    13,422.52x = 150,331,644.95
  5. Step 5: Solve for x
    x = 150,331,644.95/13,422.52
  6. Step 6: Final answer
    x = 11,199.96

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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.