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Finding the Fourth Proportional to 33,445, 50,170.86 and 8,821

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Solution

The fourth proportional to 33,445, 50,170.86 and 8,821 is: 13,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,445 : 50,170.86 = 8,821 : x
  2. Step 2: Convert to fraction form
    33,445/50,170.86 = 8,821/x
  3. Step 3: Cross multiply
    33,445x = 50,170.86 × 8,821
  4. Step 4: Simplify right side
    33,445x = 442,557,156.06
  5. Step 5: Solve for x
    x = 442,557,156.06/33,445
  6. Step 6: Final answer
    x = 13,232.39

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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.