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Finding the Fourth Proportional to 8,129.94, 12,195.26 and 2,865.65

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Solution

The fourth proportional to 8,129.94, 12,195.26 and 2,865.65 is: 4,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.94 : 12,195.26 = 2,865.65 : x
  2. Step 2: Convert to fraction form
    8,129.94/12,195.26 = 2,865.65/x
  3. Step 3: Cross multiply
    8,129.94x = 12,195.26 × 2,865.65
  4. Step 4: Simplify right side
    8,129.94x = 34,947,385.16
  5. Step 5: Solve for x
    x = 34,947,385.16/8,129.94
  6. Step 6: Final answer
    x = 4,298.60

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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.