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Finding the Fourth Proportional to 8,122.77, 12,105.09 and 7,245.54

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Solution

The fourth proportional to 8,122.77, 12,105.09 and 7,245.54 is: 10,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.77 : 12,105.09 = 7,245.54 : x
  2. Step 2: Convert to fraction form
    8,122.77/12,105.09 = 7,245.54/x
  3. Step 3: Cross multiply
    8,122.77x = 12,105.09 × 7,245.54
  4. Step 4: Simplify right side
    8,122.77x = 87,707,913.80
  5. Step 5: Solve for x
    x = 87,707,913.80/8,122.77
  6. Step 6: Final answer
    x = 10,797.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.