Home / 2,102.44-3,149.34-1,639.72

Finding the Fourth Proportional to 2,102.44, 3,149.34 and 1,639.72

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Solution

The fourth proportional to 2,102.44, 3,149.34 and 1,639.72 is: 2,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.44 : 3,149.34 = 1,639.72 : x
  2. Step 2: Convert to fraction form
    2,102.44/3,149.34 = 1,639.72/x
  3. Step 3: Cross multiply
    2,102.44x = 3,149.34 × 1,639.72
  4. Step 4: Simplify right side
    2,102.44x = 5,164,035.78
  5. Step 5: Solve for x
    x = 5,164,035.78/2,102.44
  6. Step 6: Final answer
    x = 2,456.21

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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.