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Finding the Fourth Proportional to 33,839, 46,719 and 21,744.38

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Solution

The fourth proportional to 33,839, 46,719 and 21,744.38 is: 30,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,839 : 46,719 = 21,744.38 : x
  2. Step 2: Convert to fraction form
    33,839/46,719 = 21,744.38/x
  3. Step 3: Cross multiply
    33,839x = 46,719 × 21,744.38
  4. Step 4: Simplify right side
    33,839x = 1,015,875,689.22
  5. Step 5: Solve for x
    x = 1,015,875,689.22/33,839
  6. Step 6: Final answer
    x = 30,020.85

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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.