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Finding the Fourth Proportional to 19,791.44, 27,316.68 and 12,338

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Solution

The fourth proportional to 19,791.44, 27,316.68 and 12,338 is: 17,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,791.44 : 27,316.68 = 12,338 : x
  2. Step 2: Convert to fraction form
    19,791.44/27,316.68 = 12,338/x
  3. Step 3: Cross multiply
    19,791.44x = 27,316.68 × 12,338
  4. Step 4: Simplify right side
    19,791.44x = 337,033,197.84
  5. Step 5: Solve for x
    x = 337,033,197.84/19,791.44
  6. Step 6: Final answer
    x = 17,029.24

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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.