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Finding the Fourth Proportional to 8,099.92, 12,145 and 5,494.96

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Solution

The fourth proportional to 8,099.92, 12,145 and 5,494.96 is: 8,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.92 : 12,145 = 5,494.96 : x
  2. Step 2: Convert to fraction form
    8,099.92/12,145 = 5,494.96/x
  3. Step 3: Cross multiply
    8,099.92x = 12,145 × 5,494.96
  4. Step 4: Simplify right side
    8,099.92x = 66,736,289.20
  5. Step 5: Solve for x
    x = 66,736,289.20/8,099.92
  6. Step 6: Final answer
    x = 8,239.13

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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.