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Finding the Fourth Proportional to 8,200.80, 11,217.60 and 8,006.40

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Solution

The fourth proportional to 8,200.80, 11,217.60 and 8,006.40 is: 10,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.80 : 11,217.60 = 8,006.40 : x
  2. Step 2: Convert to fraction form
    8,200.80/11,217.60 = 8,006.40/x
  3. Step 3: Cross multiply
    8,200.80x = 11,217.60 × 8,006.40
  4. Step 4: Simplify right side
    8,200.80x = 89,812,592.64
  5. Step 5: Solve for x
    x = 89,812,592.64/8,200.80
  6. Step 6: Final answer
    x = 10,951.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.