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Finding the Fourth Proportional to 1,863.87, 2,796.98 and 1,083.39

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Solution

The fourth proportional to 1,863.87, 2,796.98 and 1,083.39 is: 1,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.87 : 2,796.98 = 1,083.39 : x
  2. Step 2: Convert to fraction form
    1,863.87/2,796.98 = 1,083.39/x
  3. Step 3: Cross multiply
    1,863.87x = 2,796.98 × 1,083.39
  4. Step 4: Simplify right side
    1,863.87x = 3,030,220.16
  5. Step 5: Solve for x
    x = 3,030,220.16/1,863.87
  6. Step 6: Final answer
    x = 1,625.77

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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.