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Finding the Fourth Proportional to 8,200.80, 12,301.20 and 6,815.70

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Solution

The fourth proportional to 8,200.80, 12,301.20 and 6,815.70 is: 10,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.80 : 12,301.20 = 6,815.70 : x
  2. Step 2: Convert to fraction form
    8,200.80/12,301.20 = 6,815.70/x
  3. Step 3: Cross multiply
    8,200.80x = 12,301.20 × 6,815.70
  4. Step 4: Simplify right side
    8,200.80x = 83,841,288.84
  5. Step 5: Solve for x
    x = 83,841,288.84/8,200.80
  6. Step 6: Final answer
    x = 10,223.55

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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.