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Finding the Fourth Proportional to 11,896.80, 17,828.10 and 6,691.68

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Solution

The fourth proportional to 11,896.80, 17,828.10 and 6,691.68 is: 10,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.80 : 17,828.10 = 6,691.68 : x
  2. Step 2: Convert to fraction form
    11,896.80/17,828.10 = 6,691.68/x
  3. Step 3: Cross multiply
    11,896.80x = 17,828.10 × 6,691.68
  4. Step 4: Simplify right side
    11,896.80x = 119,299,940.21
  5. Step 5: Solve for x
    x = 119,299,940.21/11,896.80
  6. Step 6: Final answer
    x = 10,027.90

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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.