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Finding the Fourth Proportional to 8,561.92, 12,843.12 and 4,182.88

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Solution

The fourth proportional to 8,561.92, 12,843.12 and 4,182.88 is: 6,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.92 : 12,843.12 = 4,182.88 : x
  2. Step 2: Convert to fraction form
    8,561.92/12,843.12 = 4,182.88/x
  3. Step 3: Cross multiply
    8,561.92x = 12,843.12 × 4,182.88
  4. Step 4: Simplify right side
    8,561.92x = 53,721,229.79
  5. Step 5: Solve for x
    x = 53,721,229.79/8,561.92
  6. Step 6: Final answer
    x = 6,274.44

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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.