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Finding the Fourth Proportional to 33,121.38, 49,678.65 and 10,938.37

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Solution

The fourth proportional to 33,121.38, 49,678.65 and 10,938.37 is: 16,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,121.38 : 49,678.65 = 10,938.37 : x
  2. Step 2: Convert to fraction form
    33,121.38/49,678.65 = 10,938.37/x
  3. Step 3: Cross multiply
    33,121.38x = 49,678.65 × 10,938.37
  4. Step 4: Simplify right side
    33,121.38x = 543,403,454.80
  5. Step 5: Solve for x
    x = 543,403,454.80/33,121.38
  6. Step 6: Final answer
    x = 16,406.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.