Home / 3,409.94-5,105.12-2,102.60

Finding the Fourth Proportional to 3,409.94, 5,105.12 and 2,102.60

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Solution

The fourth proportional to 3,409.94, 5,105.12 and 2,102.60 is: 3,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.94 : 5,105.12 = 2,102.60 : x
  2. Step 2: Convert to fraction form
    3,409.94/5,105.12 = 2,102.60/x
  3. Step 3: Cross multiply
    3,409.94x = 5,105.12 × 2,102.60
  4. Step 4: Simplify right side
    3,409.94x = 10,733,989.27
  5. Step 5: Solve for x
    x = 10,733,989.27/3,409.94
  6. Step 6: Final answer
    x = 3,147.86

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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.