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Finding the Fourth Proportional to 2,687.96, 4,033.10 and 1,456.25

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Solution

The fourth proportional to 2,687.96, 4,033.10 and 1,456.25 is: 2,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.96 : 4,033.10 = 1,456.25 : x
  2. Step 2: Convert to fraction form
    2,687.96/4,033.10 = 1,456.25/x
  3. Step 3: Cross multiply
    2,687.96x = 4,033.10 × 1,456.25
  4. Step 4: Simplify right side
    2,687.96x = 5,873,201.88
  5. Step 5: Solve for x
    x = 5,873,201.88/2,687.96
  6. Step 6: Final answer
    x = 2,185.00

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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.