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Finding the Fourth Proportional to 8,481.84, 12,723.12 and 5,192.88

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Solution

The fourth proportional to 8,481.84, 12,723.12 and 5,192.88 is: 7,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.84 : 12,723.12 = 5,192.88 : x
  2. Step 2: Convert to fraction form
    8,481.84/12,723.12 = 5,192.88/x
  3. Step 3: Cross multiply
    8,481.84x = 12,723.12 × 5,192.88
  4. Step 4: Simplify right side
    8,481.84x = 66,069,635.39
  5. Step 5: Solve for x
    x = 66,069,635.39/8,481.84
  6. Step 6: Final answer
    x = 7,789.54

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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.