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Finding the Fourth Proportional to 3,976.88, 5,965.32 and 1,203.56

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Solution

The fourth proportional to 3,976.88, 5,965.32 and 1,203.56 is: 1,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.88 : 5,965.32 = 1,203.56 : x
  2. Step 2: Convert to fraction form
    3,976.88/5,965.32 = 1,203.56/x
  3. Step 3: Cross multiply
    3,976.88x = 5,965.32 × 1,203.56
  4. Step 4: Simplify right side
    3,976.88x = 7,179,620.54
  5. Step 5: Solve for x
    x = 7,179,620.54/3,976.88
  6. Step 6: Final answer
    x = 1,805.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.