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Finding the Fourth Proportional to 8,324.20, 12,449.56 and 7,406.20

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Solution

The fourth proportional to 8,324.20, 12,449.56 and 7,406.20 is: 11,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.20 : 12,449.56 = 7,406.20 : x
  2. Step 2: Convert to fraction form
    8,324.20/12,449.56 = 7,406.20/x
  3. Step 3: Cross multiply
    8,324.20x = 12,449.56 × 7,406.20
  4. Step 4: Simplify right side
    8,324.20x = 92,203,931.27
  5. Step 5: Solve for x
    x = 92,203,931.27/8,324.20
  6. Step 6: Final answer
    x = 11,076.61

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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.