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Finding the Fourth Proportional to 2,605.26, 3,907.89 and 960.96

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Solution

The fourth proportional to 2,605.26, 3,907.89 and 960.96 is: 1,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.26 : 3,907.89 = 960.96 : x
  2. Step 2: Convert to fraction form
    2,605.26/3,907.89 = 960.96/x
  3. Step 3: Cross multiply
    2,605.26x = 3,907.89 × 960.96
  4. Step 4: Simplify right side
    2,605.26x = 3,755,325.97
  5. Step 5: Solve for x
    x = 3,755,325.97/2,605.26
  6. Step 6: Final answer
    x = 1,441.44

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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.