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Finding the Fourth Proportional to 8,481.69, 12,729.96 and 4,536.09

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Solution

The fourth proportional to 8,481.69, 12,729.96 and 4,536.09 is: 6,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.69 : 12,729.96 = 4,536.09 : x
  2. Step 2: Convert to fraction form
    8,481.69/12,729.96 = 4,536.09/x
  3. Step 3: Cross multiply
    8,481.69x = 12,729.96 × 4,536.09
  4. Step 4: Simplify right side
    8,481.69x = 57,744,244.26
  5. Step 5: Solve for x
    x = 57,744,244.26/8,481.69
  6. Step 6: Final answer
    x = 6,808.11

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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.