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Finding the Fourth Proportional to 2,893.50, 3,991.26 and 1,713.78

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Solution

The fourth proportional to 2,893.50, 3,991.26 and 1,713.78 is: 2,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.50 : 3,991.26 = 1,713.78 : x
  2. Step 2: Convert to fraction form
    2,893.50/3,991.26 = 1,713.78/x
  3. Step 3: Cross multiply
    2,893.50x = 3,991.26 × 1,713.78
  4. Step 4: Simplify right side
    2,893.50x = 6,840,141.56
  5. Step 5: Solve for x
    x = 6,840,141.56/2,893.50
  6. Step 6: Final answer
    x = 2,363.97

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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.