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Finding the Fourth Proportional to 3,646.90, 5,469 and 2,868.42

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Solution

The fourth proportional to 3,646.90, 5,469 and 2,868.42 is: 4,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.90 : 5,469 = 2,868.42 : x
  2. Step 2: Convert to fraction form
    3,646.90/5,469 = 2,868.42/x
  3. Step 3: Cross multiply
    3,646.90x = 5,469 × 2,868.42
  4. Step 4: Simplify right side
    3,646.90x = 15,687,361.64
  5. Step 5: Solve for x
    x = 15,687,361.64/3,646.90
  6. Step 6: Final answer
    x = 4,301.56

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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.