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Finding the Fourth Proportional to 3,163.92, 4,742.03 and 2,239.74

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Solution

The fourth proportional to 3,163.92, 4,742.03 and 2,239.74 is: 3,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.92 : 4,742.03 = 2,239.74 : x
  2. Step 2: Convert to fraction form
    3,163.92/4,742.03 = 2,239.74/x
  3. Step 3: Cross multiply
    3,163.92x = 4,742.03 × 2,239.74
  4. Step 4: Simplify right side
    3,163.92x = 10,620,903.07
  5. Step 5: Solve for x
    x = 10,620,903.07/3,163.92
  6. Step 6: Final answer
    x = 3,356.88

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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.