Home / 3,977.23-5,965.96-2,001.78

Finding the Fourth Proportional to 3,977.23, 5,965.96 and 2,001.78

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Solution

The fourth proportional to 3,977.23, 5,965.96 and 2,001.78 is: 3,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.23 : 5,965.96 = 2,001.78 : x
  2. Step 2: Convert to fraction form
    3,977.23/5,965.96 = 2,001.78/x
  3. Step 3: Cross multiply
    3,977.23x = 5,965.96 × 2,001.78
  4. Step 4: Simplify right side
    3,977.23x = 11,942,539.41
  5. Step 5: Solve for x
    x = 11,942,539.41/3,977.23
  6. Step 6: Final answer
    x = 3,002.73

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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.