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Finding the Fourth Proportional to 8,188.64, 12,286.16 and 3,258.78

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Solution

The fourth proportional to 8,188.64, 12,286.16 and 3,258.78 is: 4,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.64 : 12,286.16 = 3,258.78 : x
  2. Step 2: Convert to fraction form
    8,188.64/12,286.16 = 3,258.78/x
  3. Step 3: Cross multiply
    8,188.64x = 12,286.16 × 3,258.78
  4. Step 4: Simplify right side
    8,188.64x = 40,037,902.28
  5. Step 5: Solve for x
    x = 40,037,902.28/8,188.64
  6. Step 6: Final answer
    x = 4,889.44

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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.