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Finding the Fourth Proportional to 1,863.74, 2,796.78 and 1,083.26

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Solution

The fourth proportional to 1,863.74, 2,796.78 and 1,083.26 is: 1,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.74 : 2,796.78 = 1,083.26 : x
  2. Step 2: Convert to fraction form
    1,863.74/2,796.78 = 1,083.26/x
  3. Step 3: Cross multiply
    1,863.74x = 2,796.78 × 1,083.26
  4. Step 4: Simplify right side
    1,863.74x = 3,029,639.90
  5. Step 5: Solve for x
    x = 3,029,639.90/1,863.74
  6. Step 6: Final answer
    x = 1,625.57

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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.