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Finding the Fourth Proportional to 33,419.40, 50,104.80 and 13,687.80

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Solution

The fourth proportional to 33,419.40, 50,104.80 and 13,687.80 is: 20,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419.40 : 50,104.80 = 13,687.80 : x
  2. Step 2: Convert to fraction form
    33,419.40/50,104.80 = 13,687.80/x
  3. Step 3: Cross multiply
    33,419.40x = 50,104.80 × 13,687.80
  4. Step 4: Simplify right side
    33,419.40x = 685,824,481.44
  5. Step 5: Solve for x
    x = 685,824,481.44/33,419.40
  6. Step 6: Final answer
    x = 20,521.75

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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.