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Finding the Fourth Proportional to 8,232.50, 12,327.38 and 6,913.22

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Solution

The fourth proportional to 8,232.50, 12,327.38 and 6,913.22 is: 10,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.50 : 12,327.38 = 6,913.22 : x
  2. Step 2: Convert to fraction form
    8,232.50/12,327.38 = 6,913.22/x
  3. Step 3: Cross multiply
    8,232.50x = 12,327.38 × 6,913.22
  4. Step 4: Simplify right side
    8,232.50x = 85,221,793.76
  5. Step 5: Solve for x
    x = 85,221,793.76/8,232.50
  6. Step 6: Final answer
    x = 10,351.88

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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.