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Finding the Fourth Proportional to 3,957.25, 5,932 and 3,218.38

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Solution

The fourth proportional to 3,957.25, 5,932 and 3,218.38 is: 4,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.25 : 5,932 = 3,218.38 : x
  2. Step 2: Convert to fraction form
    3,957.25/5,932 = 3,218.38/x
  3. Step 3: Cross multiply
    3,957.25x = 5,932 × 3,218.38
  4. Step 4: Simplify right side
    3,957.25x = 19,091,430.16
  5. Step 5: Solve for x
    x = 19,091,430.16/3,957.25
  6. Step 6: Final answer
    x = 4,824.42

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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.