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Finding the Fourth Proportional to 3,863.86, 5,791.47 and 1,669.30

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Solution

The fourth proportional to 3,863.86, 5,791.47 and 1,669.30 is: 2,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.86 : 5,791.47 = 1,669.30 : x
  2. Step 2: Convert to fraction form
    3,863.86/5,791.47 = 1,669.30/x
  3. Step 3: Cross multiply
    3,863.86x = 5,791.47 × 1,669.30
  4. Step 4: Simplify right side
    3,863.86x = 9,667,700.87
  5. Step 5: Solve for x
    x = 9,667,700.87/3,863.86
  6. Step 6: Final answer
    x = 2,502.08

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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.