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Finding the Fourth Proportional to 8,110.10, 12,169.95 and 3,429.85

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Solution

The fourth proportional to 8,110.10, 12,169.95 and 3,429.85 is: 5,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.10 : 12,169.95 = 3,429.85 : x
  2. Step 2: Convert to fraction form
    8,110.10/12,169.95 = 3,429.85/x
  3. Step 3: Cross multiply
    8,110.10x = 12,169.95 × 3,429.85
  4. Step 4: Simplify right side
    8,110.10x = 41,741,059.72
  5. Step 5: Solve for x
    x = 41,741,059.72/8,110.10
  6. Step 6: Final answer
    x = 5,146.80

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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.