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Finding the Fourth Proportional to 3,896.51, 5,844.79 and 2,168.78

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Solution

The fourth proportional to 3,896.51, 5,844.79 and 2,168.78 is: 3,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.51 : 5,844.79 = 2,168.78 : x
  2. Step 2: Convert to fraction form
    3,896.51/5,844.79 = 2,168.78/x
  3. Step 3: Cross multiply
    3,896.51x = 5,844.79 × 2,168.78
  4. Step 4: Simplify right side
    3,896.51x = 12,676,037.14
  5. Step 5: Solve for x
    x = 12,676,037.14/3,896.51
  6. Step 6: Final answer
    x = 3,253.18

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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.