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Finding the Fourth Proportional to 3,858.85, 5,791.04 and 1,669.15

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Solution

The fourth proportional to 3,858.85, 5,791.04 and 1,669.15 is: 2,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.85 : 5,791.04 = 1,669.15 : x
  2. Step 2: Convert to fraction form
    3,858.85/5,791.04 = 1,669.15/x
  3. Step 3: Cross multiply
    3,858.85x = 5,791.04 × 1,669.15
  4. Step 4: Simplify right side
    3,858.85x = 9,666,114.42
  5. Step 5: Solve for x
    x = 9,666,114.42/3,858.85
  6. Step 6: Final answer
    x = 2,504.92

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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.