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Finding the Fourth Proportional to 2,798.70, 3,863.72 and 1,961.96

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Solution

The fourth proportional to 2,798.70, 3,863.72 and 1,961.96 is: 2,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.70 : 3,863.72 = 1,961.96 : x
  2. Step 2: Convert to fraction form
    2,798.70/3,863.72 = 1,961.96/x
  3. Step 3: Cross multiply
    2,798.70x = 3,863.72 × 1,961.96
  4. Step 4: Simplify right side
    2,798.70x = 7,580,464.09
  5. Step 5: Solve for x
    x = 7,580,464.09/2,798.70
  6. Step 6: Final answer
    x = 2,708.57

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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.