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Finding the Fourth Proportional to 2,625.25, 3,937.89 and 677.32

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Solution

The fourth proportional to 2,625.25, 3,937.89 and 677.32 is: 1,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.25 : 3,937.89 = 677.32 : x
  2. Step 2: Convert to fraction form
    2,625.25/3,937.89 = 677.32/x
  3. Step 3: Cross multiply
    2,625.25x = 3,937.89 × 677.32
  4. Step 4: Simplify right side
    2,625.25x = 2,667,211.65
  5. Step 5: Solve for x
    x = 2,667,211.65/2,625.25
  6. Step 6: Final answer
    x = 1,015.98

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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.