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Finding the Fourth Proportional to 12,269, 18,396.48 and 5,691.80

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Solution

The fourth proportional to 12,269, 18,396.48 and 5,691.80 is: 8,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269 : 18,396.48 = 5,691.80 : x
  2. Step 2: Convert to fraction form
    12,269/18,396.48 = 5,691.80/x
  3. Step 3: Cross multiply
    12,269x = 18,396.48 × 5,691.80
  4. Step 4: Simplify right side
    12,269x = 104,709,084.86
  5. Step 5: Solve for x
    x = 104,709,084.86/12,269
  6. Step 6: Final answer
    x = 8,534.44

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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.