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Finding the Fourth Proportional to 33,406, 50,111.96 and 8,782

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Solution

The fourth proportional to 33,406, 50,111.96 and 8,782 is: 13,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406 : 50,111.96 = 8,782 : x
  2. Step 2: Convert to fraction form
    33,406/50,111.96 = 8,782/x
  3. Step 3: Cross multiply
    33,406x = 50,111.96 × 8,782
  4. Step 4: Simplify right side
    33,406x = 440,083,232.72
  5. Step 5: Solve for x
    x = 440,083,232.72/33,406
  6. Step 6: Final answer
    x = 13,173.78

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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.