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Finding the Fourth Proportional to 38,864, 58,305.84 and 11,162

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Solution

The fourth proportional to 38,864, 58,305.84 and 11,162 is: 16,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,864 : 58,305.84 = 11,162 : x
  2. Step 2: Convert to fraction form
    38,864/58,305.84 = 11,162/x
  3. Step 3: Cross multiply
    38,864x = 58,305.84 × 11,162
  4. Step 4: Simplify right side
    38,864x = 650,809,786.08
  5. Step 5: Solve for x
    x = 650,809,786.08/38,864
  6. Step 6: Final answer
    x = 16,745.83

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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.