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Finding the Fourth Proportional to 13,463, 20,197.78 and 4,229

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Solution

The fourth proportional to 13,463, 20,197.78 and 4,229 is: 6,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463 : 20,197.78 = 4,229 : x
  2. Step 2: Convert to fraction form
    13,463/20,197.78 = 4,229/x
  3. Step 3: Cross multiply
    13,463x = 20,197.78 × 4,229
  4. Step 4: Simplify right side
    13,463x = 85,416,411.62
  5. Step 5: Solve for x
    x = 85,416,411.62/13,463
  6. Step 6: Final answer
    x = 6,344.53

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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.