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Finding the Fourth Proportional to 11,996, 17,996.88 and 3,788

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Solution

The fourth proportional to 11,996, 17,996.88 and 3,788 is: 5,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996 : 17,996.88 = 3,788 : x
  2. Step 2: Convert to fraction form
    11,996/17,996.88 = 3,788/x
  3. Step 3: Cross multiply
    11,996x = 17,996.88 × 3,788
  4. Step 4: Simplify right side
    11,996x = 68,172,181.44
  5. Step 5: Solve for x
    x = 68,172,181.44/11,996
  6. Step 6: Final answer
    x = 5,682.91

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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.