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Finding the Fourth Proportional to 11,896.91, 17,832.47 and 7,739.87

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Solution

The fourth proportional to 11,896.91, 17,832.47 and 7,739.87 is: 11,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.91 : 17,832.47 = 7,739.87 : x
  2. Step 2: Convert to fraction form
    11,896.91/17,832.47 = 7,739.87/x
  3. Step 3: Cross multiply
    11,896.91x = 17,832.47 × 7,739.87
  4. Step 4: Simplify right side
    11,896.91x = 138,021,005.46
  5. Step 5: Solve for x
    x = 138,021,005.46/11,896.91
  6. Step 6: Final answer
    x = 11,601.42

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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.