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Finding the Fourth Proportional to 7,976.94, 11,965.41 and 2,782.82

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Solution

The fourth proportional to 7,976.94, 11,965.41 and 2,782.82 is: 4,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.94 : 11,965.41 = 2,782.82 : x
  2. Step 2: Convert to fraction form
    7,976.94/11,965.41 = 2,782.82/x
  3. Step 3: Cross multiply
    7,976.94x = 11,965.41 × 2,782.82
  4. Step 4: Simplify right side
    7,976.94x = 33,297,522.43
  5. Step 5: Solve for x
    x = 33,297,522.43/7,976.94
  6. Step 6: Final answer
    x = 4,174.22

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Similar ratio
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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.