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Finding the Fourth Proportional to 11,995, 17,998.98 and 5,839

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Solution

The fourth proportional to 11,995, 17,998.98 and 5,839 is: 8,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995 : 17,998.98 = 5,839 : x
  2. Step 2: Convert to fraction form
    11,995/17,998.98 = 5,839/x
  3. Step 3: Cross multiply
    11,995x = 17,998.98 × 5,839
  4. Step 4: Simplify right side
    11,995x = 105,096,044.22
  5. Step 5: Solve for x
    x = 105,096,044.22/11,995
  6. Step 6: Final answer
    x = 8,761.65

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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.