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Finding the Fourth Proportional to 8,481.80, 12,708.78 and 8,157.80

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Solution

The fourth proportional to 8,481.80, 12,708.78 and 8,157.80 is: 12,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.80 : 12,708.78 = 8,157.80 : x
  2. Step 2: Convert to fraction form
    8,481.80/12,708.78 = 8,157.80/x
  3. Step 3: Cross multiply
    8,481.80x = 12,708.78 × 8,157.80
  4. Step 4: Simplify right side
    8,481.80x = 103,675,685.48
  5. Step 5: Solve for x
    x = 103,675,685.48/8,481.80
  6. Step 6: Final answer
    x = 12,223.31

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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.