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Finding the Fourth Proportional to 20,015, 27,620.70 and 11,183

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Solution

The fourth proportional to 20,015, 27,620.70 and 11,183 is: 15,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,015 : 27,620.70 = 11,183 : x
  2. Step 2: Convert to fraction form
    20,015/27,620.70 = 11,183/x
  3. Step 3: Cross multiply
    20,015x = 27,620.70 × 11,183
  4. Step 4: Simplify right side
    20,015x = 308,882,288.10
  5. Step 5: Solve for x
    x = 308,882,288.10/20,015
  6. Step 6: Final answer
    x = 15,432.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.