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Finding the Fourth Proportional to 11,801, 17,703.84 and 3,481.16

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Solution

The fourth proportional to 11,801, 17,703.84 and 3,481.16 is: 5,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801 : 17,703.84 = 3,481.16 : x
  2. Step 2: Convert to fraction form
    11,801/17,703.84 = 3,481.16/x
  3. Step 3: Cross multiply
    11,801x = 17,703.84 × 3,481.16
  4. Step 4: Simplify right side
    11,801x = 61,629,899.65
  5. Step 5: Solve for x
    x = 61,629,899.65/11,801
  6. Step 6: Final answer
    x = 5,222.43

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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.