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Finding the Fourth Proportional to 11,998, 17,999.88 and 3,790

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Solution

The fourth proportional to 11,998, 17,999.88 and 3,790 is: 5,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998 : 17,999.88 = 3,790 : x
  2. Step 2: Convert to fraction form
    11,998/17,999.88 = 3,790/x
  3. Step 3: Cross multiply
    11,998x = 17,999.88 × 3,790
  4. Step 4: Simplify right side
    11,998x = 68,219,545.20
  5. Step 5: Solve for x
    x = 68,219,545.20/11,998
  6. Step 6: Final answer
    x = 5,685.91

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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.