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Finding the Fourth Proportional to 3,907.64, 5,863.26 and 1,961.24

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Solution

The fourth proportional to 3,907.64, 5,863.26 and 1,961.24 is: 2,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.64 : 5,863.26 = 1,961.24 : x
  2. Step 2: Convert to fraction form
    3,907.64/5,863.26 = 1,961.24/x
  3. Step 3: Cross multiply
    3,907.64x = 5,863.26 × 1,961.24
  4. Step 4: Simplify right side
    3,907.64x = 11,499,260.04
  5. Step 5: Solve for x
    x = 11,499,260.04/3,907.64
  6. Step 6: Final answer
    x = 2,942.76

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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.