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Finding the Fourth Proportional to 17,661.78, 26,474.22 and 12,974.82

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Solution

The fourth proportional to 17,661.78, 26,474.22 and 12,974.82 is: 19,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.78 : 26,474.22 = 12,974.82 : x
  2. Step 2: Convert to fraction form
    17,661.78/26,474.22 = 12,974.82/x
  3. Step 3: Cross multiply
    17,661.78x = 26,474.22 × 12,974.82
  4. Step 4: Simplify right side
    17,661.78x = 343,498,239.14
  5. Step 5: Solve for x
    x = 343,498,239.14/17,661.78
  6. Step 6: Final answer
    x = 19,448.68

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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.