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Finding the Fourth Proportional to 2,814.64, 3,879 and 2,192.56

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Solution

The fourth proportional to 2,814.64, 3,879 and 2,192.56 is: 3,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.64 : 3,879 = 2,192.56 : x
  2. Step 2: Convert to fraction form
    2,814.64/3,879 = 2,192.56/x
  3. Step 3: Cross multiply
    2,814.64x = 3,879 × 2,192.56
  4. Step 4: Simplify right side
    2,814.64x = 8,504,940.24
  5. Step 5: Solve for x
    x = 8,504,940.24/2,814.64
  6. Step 6: Final answer
    x = 3,021.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.