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Finding the Fourth Proportional to 3,163.78, 4,366.26 and 1,747.58

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Solution

The fourth proportional to 3,163.78, 4,366.26 and 1,747.58 is: 2,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.78 : 4,366.26 = 1,747.58 : x
  2. Step 2: Convert to fraction form
    3,163.78/4,366.26 = 1,747.58/x
  3. Step 3: Cross multiply
    3,163.78x = 4,366.26 × 1,747.58
  4. Step 4: Simplify right side
    3,163.78x = 7,630,388.65
  5. Step 5: Solve for x
    x = 7,630,388.65/3,163.78
  6. Step 6: Final answer
    x = 2,411.79

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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.