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Finding the Fourth Proportional to 20,137, 27,789.06 and 11,305

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Solution

The fourth proportional to 20,137, 27,789.06 and 11,305 is: 15,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137 : 27,789.06 = 11,305 : x
  2. Step 2: Convert to fraction form
    20,137/27,789.06 = 11,305/x
  3. Step 3: Cross multiply
    20,137x = 27,789.06 × 11,305
  4. Step 4: Simplify right side
    20,137x = 314,155,323.30
  5. Step 5: Solve for x
    x = 314,155,323.30/20,137
  6. Step 6: Final answer
    x = 15,600.90

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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.