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Finding the Fourth Proportional to 3,896.64, 5,846.10 and 1,922.88

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Solution

The fourth proportional to 3,896.64, 5,846.10 and 1,922.88 is: 2,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.64 : 5,846.10 = 1,922.88 : x
  2. Step 2: Convert to fraction form
    3,896.64/5,846.10 = 1,922.88/x
  3. Step 3: Cross multiply
    3,896.64x = 5,846.10 × 1,922.88
  4. Step 4: Simplify right side
    3,896.64x = 11,241,348.77
  5. Step 5: Solve for x
    x = 11,241,348.77/3,896.64
  6. Step 6: Final answer
    x = 2,884.88

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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.