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Finding the Fourth Proportional to 1,906.93, 2,855.81 and 1,083.19

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Solution

The fourth proportional to 1,906.93, 2,855.81 and 1,083.19 is: 1,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.93 : 2,855.81 = 1,083.19 : x
  2. Step 2: Convert to fraction form
    1,906.93/2,855.81 = 1,083.19/x
  3. Step 3: Cross multiply
    1,906.93x = 2,855.81 × 1,083.19
  4. Step 4: Simplify right side
    1,906.93x = 3,093,379.42
  5. Step 5: Solve for x
    x = 3,093,379.42/1,906.93
  6. Step 6: Final answer
    x = 1,622.18

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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.