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Finding the Fourth Proportional to 2,806.79, 4,209.49 and 1,163.79

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Solution

The fourth proportional to 2,806.79, 4,209.49 and 1,163.79 is: 1,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.79 : 4,209.49 = 1,163.79 : x
  2. Step 2: Convert to fraction form
    2,806.79/4,209.49 = 1,163.79/x
  3. Step 3: Cross multiply
    2,806.79x = 4,209.49 × 1,163.79
  4. Step 4: Simplify right side
    2,806.79x = 4,898,956.55
  5. Step 5: Solve for x
    x = 4,898,956.55/2,806.79
  6. Step 6: Final answer
    x = 1,745.39

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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.