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Finding the Fourth Proportional to 20,200.75, 27,879.20 and 11,824.27

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Solution

The fourth proportional to 20,200.75, 27,879.20 and 11,824.27 is: 16,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.75 : 27,879.20 = 11,824.27 : x
  2. Step 2: Convert to fraction form
    20,200.75/27,879.20 = 11,824.27/x
  3. Step 3: Cross multiply
    20,200.75x = 27,879.20 × 11,824.27
  4. Step 4: Simplify right side
    20,200.75x = 329,651,188.18
  5. Step 5: Solve for x
    x = 329,651,188.18/20,200.75
  6. Step 6: Final answer
    x = 16,318.76

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1.5x scale

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.