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Finding the Fourth Proportional to 19,105, 26,310.40 and 13,791.40

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Solution

The fourth proportional to 19,105, 26,310.40 and 13,791.40 is: 18,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,105 : 26,310.40 = 13,791.40 : x
  2. Step 2: Convert to fraction form
    19,105/26,310.40 = 13,791.40/x
  3. Step 3: Cross multiply
    19,105x = 26,310.40 × 13,791.40
  4. Step 4: Simplify right side
    19,105x = 362,857,250.56
  5. Step 5: Solve for x
    x = 362,857,250.56/19,105
  6. Step 6: Final answer
    x = 18,992.79

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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.