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Finding the Fourth Proportional to 3,816, 5,268.42 and 2,493.36

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Solution

The fourth proportional to 3,816, 5,268.42 and 2,493.36 is: 3,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816 : 5,268.42 = 2,493.36 : x
  2. Step 2: Convert to fraction form
    3,816/5,268.42 = 2,493.36/x
  3. Step 3: Cross multiply
    3,816x = 5,268.42 × 2,493.36
  4. Step 4: Simplify right side
    3,816x = 13,136,067.69
  5. Step 5: Solve for x
    x = 13,136,067.69/3,816
  6. Step 6: Final answer
    x = 3,442.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.