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Finding the Fourth Proportional to 20,793.72, 31,190.72 and 8,314.80

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Solution

The fourth proportional to 20,793.72, 31,190.72 and 8,314.80 is: 12,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.72 : 31,190.72 = 8,314.80 : x
  2. Step 2: Convert to fraction form
    20,793.72/31,190.72 = 8,314.80/x
  3. Step 3: Cross multiply
    20,793.72x = 31,190.72 × 8,314.80
  4. Step 4: Simplify right side
    20,793.72x = 259,344,401.13
  5. Step 5: Solve for x
    x = 259,344,401.13/20,793.72
  6. Step 6: Final answer
    x = 12,472.25

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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.