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Finding the Fourth Proportional to 11,838.78, 17,741.25 and 8,694.12

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Solution

The fourth proportional to 11,838.78, 17,741.25 and 8,694.12 is: 13,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.78 : 17,741.25 = 8,694.12 : x
  2. Step 2: Convert to fraction form
    11,838.78/17,741.25 = 8,694.12/x
  3. Step 3: Cross multiply
    11,838.78x = 17,741.25 × 8,694.12
  4. Step 4: Simplify right side
    11,838.78x = 154,244,556.45
  5. Step 5: Solve for x
    x = 154,244,556.45/11,838.78
  6. Step 6: Final answer
    x = 13,028.75

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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.