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Finding the Fourth Proportional to 33,892, 50,841.52 and 9,268

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Solution

The fourth proportional to 33,892, 50,841.52 and 9,268 is: 13,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,892 : 50,841.52 = 9,268 : x
  2. Step 2: Convert to fraction form
    33,892/50,841.52 = 9,268/x
  3. Step 3: Cross multiply
    33,892x = 50,841.52 × 9,268
  4. Step 4: Simplify right side
    33,892x = 471,199,207.36
  5. Step 5: Solve for x
    x = 471,199,207.36/33,892
  6. Step 6: Final answer
    x = 13,902.96

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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.