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Finding the Fourth Proportional to 19,997, 27,595.86 and 11,165

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Solution

The fourth proportional to 19,997, 27,595.86 and 11,165 is: 15,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997 : 27,595.86 = 11,165 : x
  2. Step 2: Convert to fraction form
    19,997/27,595.86 = 11,165/x
  3. Step 3: Cross multiply
    19,997x = 27,595.86 × 11,165
  4. Step 4: Simplify right side
    19,997x = 308,107,776.90
  5. Step 5: Solve for x
    x = 308,107,776.90/19,997
  6. Step 6: Final answer
    x = 15,407.70

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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.