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Finding the Fourth Proportional to 20,049, 30,073.50 and 6,198

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Solution

The fourth proportional to 20,049, 30,073.50 and 6,198 is: 9,297

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049 : 30,073.50 = 6,198 : x
  2. Step 2: Convert to fraction form
    20,049/30,073.50 = 6,198/x
  3. Step 3: Cross multiply
    20,049x = 30,073.50 × 6,198
  4. Step 4: Simplify right side
    20,049x = 186,395,553
  5. Step 5: Solve for x
    x = 186,395,553/20,049
  6. Step 6: Final answer
    x = 9,297

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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.