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Finding the Fourth Proportional to 20,205.88, 27,884.60 and 11,254

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Solution

The fourth proportional to 20,205.88, 27,884.60 and 11,254 is: 15,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.88 : 27,884.60 = 11,254 : x
  2. Step 2: Convert to fraction form
    20,205.88/27,884.60 = 11,254/x
  3. Step 3: Cross multiply
    20,205.88x = 27,884.60 × 11,254
  4. Step 4: Simplify right side
    20,205.88x = 313,813,288.40
  5. Step 5: Solve for x
    x = 313,813,288.40/20,205.88
  6. Step 6: Final answer
    x = 15,530.79

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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.