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Finding the Fourth Proportional to 20,180.48, 27,852.80 and 11,793.92

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Solution

The fourth proportional to 20,180.48, 27,852.80 and 11,793.92 is: 16,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.48 : 27,852.80 = 11,793.92 : x
  2. Step 2: Convert to fraction form
    20,180.48/27,852.80 = 11,793.92/x
  3. Step 3: Cross multiply
    20,180.48x = 27,852.80 × 11,793.92
  4. Step 4: Simplify right side
    20,180.48x = 328,493,694.98
  5. Step 5: Solve for x
    x = 328,493,694.98/20,180.48
  6. Step 6: Final answer
    x = 16,277.79

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