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Finding the Fourth Proportional to 13,536.60, 20,281.64 and 12,167

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Solution

The fourth proportional to 13,536.60, 20,281.64 and 12,167 is: 18,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.60 : 20,281.64 = 12,167 : x
  2. Step 2: Convert to fraction form
    13,536.60/20,281.64 = 12,167/x
  3. Step 3: Cross multiply
    13,536.60x = 20,281.64 × 12,167
  4. Step 4: Simplify right side
    13,536.60x = 246,766,713.88
  5. Step 5: Solve for x
    x = 246,766,713.88/13,536.60
  6. Step 6: Final answer
    x = 18,229.59

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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.