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Finding the Fourth Proportional to 20,140.72, 27,793.62 and 11,188

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Solution

The fourth proportional to 20,140.72, 27,793.62 and 11,188 is: 15,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.72 : 27,793.62 = 11,188 : x
  2. Step 2: Convert to fraction form
    20,140.72/27,793.62 = 11,188/x
  3. Step 3: Cross multiply
    20,140.72x = 27,793.62 × 11,188
  4. Step 4: Simplify right side
    20,140.72x = 310,955,020.56
  5. Step 5: Solve for x
    x = 310,955,020.56/20,140.72
  6. Step 6: Final answer
    x = 15,439.12

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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.