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Finding the Fourth Proportional to 3,289.82, 4,921.97 and 2,099.93

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Solution

The fourth proportional to 3,289.82, 4,921.97 and 2,099.93 is: 3,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.82 : 4,921.97 = 2,099.93 : x
  2. Step 2: Convert to fraction form
    3,289.82/4,921.97 = 2,099.93/x
  3. Step 3: Cross multiply
    3,289.82x = 4,921.97 × 2,099.93
  4. Step 4: Simplify right side
    3,289.82x = 10,335,757.35
  5. Step 5: Solve for x
    x = 10,335,757.35/3,289.82
  6. Step 6: Final answer
    x = 3,141.74

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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.