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Finding the Fourth Proportional to 8,119.50, 12,179.04 and 2,196.96

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Solution

The fourth proportional to 8,119.50, 12,179.04 and 2,196.96 is: 3,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.50 : 12,179.04 = 2,196.96 : x
  2. Step 2: Convert to fraction form
    8,119.50/12,179.04 = 2,196.96/x
  3. Step 3: Cross multiply
    8,119.50x = 12,179.04 × 2,196.96
  4. Step 4: Simplify right side
    8,119.50x = 26,756,863.72
  5. Step 5: Solve for x
    x = 26,756,863.72/8,119.50
  6. Step 6: Final answer
    x = 3,295.38

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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.