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Finding the Fourth Proportional to 13,432, 20,149.08 and 4,198

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Solution

The fourth proportional to 13,432, 20,149.08 and 4,198 is: 6,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432 : 20,149.08 = 4,198 : x
  2. Step 2: Convert to fraction form
    13,432/20,149.08 = 4,198/x
  3. Step 3: Cross multiply
    13,432x = 20,149.08 × 4,198
  4. Step 4: Simplify right side
    13,432x = 84,585,837.84
  5. Step 5: Solve for x
    x = 84,585,837.84/13,432
  6. Step 6: Final answer
    x = 6,297.34

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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.