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Finding the Fourth Proportional to 3,138.70, 4,334.16 and 1,961.86

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Solution

The fourth proportional to 3,138.70, 4,334.16 and 1,961.86 is: 2,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.70 : 4,334.16 = 1,961.86 : x
  2. Step 2: Convert to fraction form
    3,138.70/4,334.16 = 1,961.86/x
  3. Step 3: Cross multiply
    3,138.70x = 4,334.16 × 1,961.86
  4. Step 4: Simplify right side
    3,138.70x = 8,503,015.14
  5. Step 5: Solve for x
    x = 8,503,015.14/3,138.70
  6. Step 6: Final answer
    x = 2,709.09

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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.