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Finding the Fourth Proportional to 7,976.72, 11,964.64 and 2,782.96

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Solution

The fourth proportional to 7,976.72, 11,964.64 and 2,782.96 is: 4,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.72 : 11,964.64 = 2,782.96 : x
  2. Step 2: Convert to fraction form
    7,976.72/11,964.64 = 2,782.96/x
  3. Step 3: Cross multiply
    7,976.72x = 11,964.64 × 2,782.96
  4. Step 4: Simplify right side
    7,976.72x = 33,297,114.53
  5. Step 5: Solve for x
    x = 33,297,114.53/7,976.72
  6. Step 6: Final answer
    x = 4,174.29

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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.