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Finding the Fourth Proportional to 8,120.49, 12,200.19 and 5,204.49

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Solution

The fourth proportional to 8,120.49, 12,200.19 and 5,204.49 is: 7,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.49 : 12,200.19 = 5,204.49 : x
  2. Step 2: Convert to fraction form
    8,120.49/12,200.19 = 5,204.49/x
  3. Step 3: Cross multiply
    8,120.49x = 12,200.19 × 5,204.49
  4. Step 4: Simplify right side
    8,120.49x = 63,495,766.85
  5. Step 5: Solve for x
    x = 63,495,766.85/8,120.49
  6. Step 6: Final answer
    x = 7,819.20

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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.