Home / 3,977-5,964.70-1,380.04

Finding the Fourth Proportional to 3,977, 5,964.70 and 1,380.04

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Solution

The fourth proportional to 3,977, 5,964.70 and 1,380.04 is: 2,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977 : 5,964.70 = 1,380.04 : x
  2. Step 2: Convert to fraction form
    3,977/5,964.70 = 1,380.04/x
  3. Step 3: Cross multiply
    3,977x = 5,964.70 × 1,380.04
  4. Step 4: Simplify right side
    3,977x = 8,231,524.59
  5. Step 5: Solve for x
    x = 8,231,524.59/3,977
  6. Step 6: Final answer
    x = 2,069.78

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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.