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Finding the Fourth Proportional to 3,980.73, 5,954.62 and 3,619.88

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Solution

The fourth proportional to 3,980.73, 5,954.62 and 3,619.88 is: 5,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.73 : 5,954.62 = 3,619.88 : x
  2. Step 2: Convert to fraction form
    3,980.73/5,954.62 = 3,619.88/x
  3. Step 3: Cross multiply
    3,980.73x = 5,954.62 × 3,619.88
  4. Step 4: Simplify right side
    3,980.73x = 21,555,009.85
  5. Step 5: Solve for x
    x = 21,555,009.85/3,980.73
  6. Step 6: Final answer
    x = 5,414.84

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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.