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Finding the Fourth Proportional to 3,791.88, 5,686.92 and 1,326

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Solution

The fourth proportional to 3,791.88, 5,686.92 and 1,326 is: 1,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.88 : 5,686.92 = 1,326 : x
  2. Step 2: Convert to fraction form
    3,791.88/5,686.92 = 1,326/x
  3. Step 3: Cross multiply
    3,791.88x = 5,686.92 × 1,326
  4. Step 4: Simplify right side
    3,791.88x = 7,540,855.92
  5. Step 5: Solve for x
    x = 7,540,855.92/3,791.88
  6. Step 6: Final answer
    x = 1,988.69

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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.