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Finding the Fourth Proportional to 2,651.85, 3,977.79 and 677.48

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Solution

The fourth proportional to 2,651.85, 3,977.79 and 677.48 is: 1,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.85 : 3,977.79 = 677.48 : x
  2. Step 2: Convert to fraction form
    2,651.85/3,977.79 = 677.48/x
  3. Step 3: Cross multiply
    2,651.85x = 3,977.79 × 677.48
  4. Step 4: Simplify right side
    2,651.85x = 2,694,853.28
  5. Step 5: Solve for x
    x = 2,694,853.28/2,651.85
  6. Step 6: Final answer
    x = 1,016.22

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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.