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Finding the Fourth Proportional to 33,198, 45,813.24 and 19,950

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Solution

The fourth proportional to 33,198, 45,813.24 and 19,950 is: 27,531

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198 : 45,813.24 = 19,950 : x
  2. Step 2: Convert to fraction form
    33,198/45,813.24 = 19,950/x
  3. Step 3: Cross multiply
    33,198x = 45,813.24 × 19,950
  4. Step 4: Simplify right side
    33,198x = 913,974,138
  5. Step 5: Solve for x
    x = 913,974,138/33,198
  6. Step 6: Final answer
    x = 27,531

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.