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Finding the Fourth Proportional to 5,163.91, 7,125.97 and 2,806

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Solution

The fourth proportional to 5,163.91, 7,125.97 and 2,806 is: 3,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.91 : 7,125.97 = 2,806 : x
  2. Step 2: Convert to fraction form
    5,163.91/7,125.97 = 2,806/x
  3. Step 3: Cross multiply
    5,163.91x = 7,125.97 × 2,806
  4. Step 4: Simplify right side
    5,163.91x = 19,995,471.82
  5. Step 5: Solve for x
    x = 19,995,471.82/5,163.91
  6. Step 6: Final answer
    x = 3,872.16

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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.