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Finding the Fourth Proportional to 6,481.86, 9,724.67 and 2,099.22

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Solution

The fourth proportional to 6,481.86, 9,724.67 and 2,099.22 is: 3,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.86 : 9,724.67 = 2,099.22 : x
  2. Step 2: Convert to fraction form
    6,481.86/9,724.67 = 2,099.22/x
  3. Step 3: Cross multiply
    6,481.86x = 9,724.67 × 2,099.22
  4. Step 4: Simplify right side
    6,481.86x = 20,414,221.76
  5. Step 5: Solve for x
    x = 20,414,221.76/6,481.86
  6. Step 6: Final answer
    x = 3,149.44

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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.