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Finding the Fourth Proportional to 8,188.56, 12,282.80 and 2,993.20

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Solution

The fourth proportional to 8,188.56, 12,282.80 and 2,993.20 is: 4,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.56 : 12,282.80 = 2,993.20 : x
  2. Step 2: Convert to fraction form
    8,188.56/12,282.80 = 2,993.20/x
  3. Step 3: Cross multiply
    8,188.56x = 12,282.80 × 2,993.20
  4. Step 4: Simplify right side
    8,188.56x = 36,764,876.96
  5. Step 5: Solve for x
    x = 36,764,876.96/8,188.56
  6. Step 6: Final answer
    x = 4,489.79

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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.