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Finding the Fourth Proportional to 2,896.94, 3,997.71 and 1,638

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Solution

The fourth proportional to 2,896.94, 3,997.71 and 1,638 is: 2,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.94 : 3,997.71 = 1,638 : x
  2. Step 2: Convert to fraction form
    2,896.94/3,997.71 = 1,638/x
  3. Step 3: Cross multiply
    2,896.94x = 3,997.71 × 1,638
  4. Step 4: Simplify right side
    2,896.94x = 6,548,248.98
  5. Step 5: Solve for x
    x = 6,548,248.98/2,896.94
  6. Step 6: Final answer
    x = 2,260.40

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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.