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Finding the Fourth Proportional to 11,997, 17,998.38 and 3,789

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Solution

The fourth proportional to 11,997, 17,998.38 and 3,789 is: 5,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997 : 17,998.38 = 3,789 : x
  2. Step 2: Convert to fraction form
    11,997/17,998.38 = 3,789/x
  3. Step 3: Cross multiply
    11,997x = 17,998.38 × 3,789
  4. Step 4: Simplify right side
    11,997x = 68,195,861.82
  5. Step 5: Solve for x
    x = 68,195,861.82/11,997
  6. Step 6: Final answer
    x = 5,684.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.