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Finding the Fourth Proportional to 31,186, 43,029.84 and 19,851.44

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Solution

The fourth proportional to 31,186, 43,029.84 and 19,851.44 is: 27,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186 : 43,029.84 = 19,851.44 : x
  2. Step 2: Convert to fraction form
    31,186/43,029.84 = 19,851.44/x
  3. Step 3: Cross multiply
    31,186x = 43,029.84 × 19,851.44
  4. Step 4: Simplify right side
    31,186x = 854,204,286.97
  5. Step 5: Solve for x
    x = 854,204,286.97/31,186
  6. Step 6: Final answer
    x = 27,390.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.