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Finding the Fourth Proportional to 3,863.77, 5,791.17 and 1,779.40

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Solution

The fourth proportional to 3,863.77, 5,791.17 and 1,779.40 is: 2,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.77 : 5,791.17 = 1,779.40 : x
  2. Step 2: Convert to fraction form
    3,863.77/5,791.17 = 1,779.40/x
  3. Step 3: Cross multiply
    3,863.77x = 5,791.17 × 1,779.40
  4. Step 4: Simplify right side
    3,863.77x = 10,304,778.94
  5. Step 5: Solve for x
    x = 10,304,778.94/3,863.77
  6. Step 6: Final answer
    x = 2,667.03

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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.