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Finding the Fourth Proportional to 3,871.64, 5,805.97 and 1,896.05

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Solution

The fourth proportional to 3,871.64, 5,805.97 and 1,896.05 is: 2,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.64 : 5,805.97 = 1,896.05 : x
  2. Step 2: Convert to fraction form
    3,871.64/5,805.97 = 1,896.05/x
  3. Step 3: Cross multiply
    3,871.64x = 5,805.97 × 1,896.05
  4. Step 4: Simplify right side
    3,871.64x = 11,008,409.42
  5. Step 5: Solve for x
    x = 11,008,409.42/3,871.64
  6. Step 6: Final answer
    x = 2,843.35

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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.