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Finding the Fourth Proportional to 3,980.90, 5,965.02 and 3,361.70

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Solution

The fourth proportional to 3,980.90, 5,965.02 and 3,361.70 is: 5,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.90 : 5,965.02 = 3,361.70 : x
  2. Step 2: Convert to fraction form
    3,980.90/5,965.02 = 3,361.70/x
  3. Step 3: Cross multiply
    3,980.90x = 5,965.02 × 3,361.70
  4. Step 4: Simplify right side
    3,980.90x = 20,052,607.73
  5. Step 5: Solve for x
    x = 20,052,607.73/3,980.90
  6. Step 6: Final answer
    x = 5,037.20

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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.