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Finding the Fourth Proportional to 8,543.68, 12,794.10 and 5,414.20

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Solution

The fourth proportional to 8,543.68, 12,794.10 and 5,414.20 is: 8,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.68 : 12,794.10 = 5,414.20 : x
  2. Step 2: Convert to fraction form
    8,543.68/12,794.10 = 5,414.20/x
  3. Step 3: Cross multiply
    8,543.68x = 12,794.10 × 5,414.20
  4. Step 4: Simplify right side
    8,543.68x = 69,269,816.22
  5. Step 5: Solve for x
    x = 69,269,816.22/8,543.68
  6. Step 6: Final answer
    x = 8,107.73

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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.