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Finding the Fourth Proportional to 2,872.96, 3,958.84 and 2,718

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Solution

The fourth proportional to 2,872.96, 3,958.84 and 2,718 is: 3,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.96 : 3,958.84 = 2,718 : x
  2. Step 2: Convert to fraction form
    2,872.96/3,958.84 = 2,718/x
  3. Step 3: Cross multiply
    2,872.96x = 3,958.84 × 2,718
  4. Step 4: Simplify right side
    2,872.96x = 10,760,127.12
  5. Step 5: Solve for x
    x = 10,760,127.12/2,872.96
  6. Step 6: Final answer
    x = 3,745.31

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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.