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Finding the Fourth Proportional to 3,709.70, 5,115.04 and 2,961.26

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Solution

The fourth proportional to 3,709.70, 5,115.04 and 2,961.26 is: 4,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.70 : 5,115.04 = 2,961.26 : x
  2. Step 2: Convert to fraction form
    3,709.70/5,115.04 = 2,961.26/x
  3. Step 3: Cross multiply
    3,709.70x = 5,115.04 × 2,961.26
  4. Step 4: Simplify right side
    3,709.70x = 15,146,930.37
  5. Step 5: Solve for x
    x = 15,146,930.37/3,709.70
  6. Step 6: Final answer
    x = 4,083.07

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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.