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Finding the Fourth Proportional to 20,872.44, 28,805.28 and 11,441

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Solution

The fourth proportional to 20,872.44, 28,805.28 and 11,441 is: 15,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.44 : 28,805.28 = 11,441 : x
  2. Step 2: Convert to fraction form
    20,872.44/28,805.28 = 11,441/x
  3. Step 3: Cross multiply
    20,872.44x = 28,805.28 × 11,441
  4. Step 4: Simplify right side
    20,872.44x = 329,561,208.48
  5. Step 5: Solve for x
    x = 329,561,208.48/20,872.44
  6. Step 6: Final answer
    x = 15,789.30

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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.