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Finding the Fourth Proportional to 12,532.76, 18,826.26 and 8,147.96

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Solution

The fourth proportional to 12,532.76, 18,826.26 and 8,147.96 is: 12,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.76 : 18,826.26 = 8,147.96 : x
  2. Step 2: Convert to fraction form
    12,532.76/18,826.26 = 8,147.96/x
  3. Step 3: Cross multiply
    12,532.76x = 18,826.26 × 8,147.96
  4. Step 4: Simplify right side
    12,532.76x = 153,395,613.43
  5. Step 5: Solve for x
    x = 153,395,613.43/12,532.76
  6. Step 6: Final answer
    x = 12,239.57

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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.