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Finding the Fourth Proportional to 33,405, 50,110.46 and 8,781

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Solution

The fourth proportional to 33,405, 50,110.46 and 8,781 is: 13,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,405 : 50,110.46 = 8,781 : x
  2. Step 2: Convert to fraction form
    33,405/50,110.46 = 8,781/x
  3. Step 3: Cross multiply
    33,405x = 50,110.46 × 8,781
  4. Step 4: Simplify right side
    33,405x = 440,019,949.26
  5. Step 5: Solve for x
    x = 440,019,949.26/33,405
  6. Step 6: Final answer
    x = 13,172.28

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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.