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Finding the Fourth Proportional to 49,912.40, 68,892.36 and 28,694

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Solution

The fourth proportional to 49,912.40, 68,892.36 and 28,694 is: 39,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,912.40 : 68,892.36 = 28,694 : x
  2. Step 2: Convert to fraction form
    49,912.40/68,892.36 = 28,694/x
  3. Step 3: Cross multiply
    49,912.40x = 68,892.36 × 28,694
  4. Step 4: Simplify right side
    49,912.40x = 1,976,797,377.84
  5. Step 5: Solve for x
    x = 1,976,797,377.84/49,912.40
  6. Step 6: Final answer
    x = 39,605.34

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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.