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Finding the Fourth Proportional to 1,895.81, 2,843.71 and 1,249.43

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Solution

The fourth proportional to 1,895.81, 2,843.71 and 1,249.43 is: 1,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.81 : 2,843.71 = 1,249.43 : x
  2. Step 2: Convert to fraction form
    1,895.81/2,843.71 = 1,249.43/x
  3. Step 3: Cross multiply
    1,895.81x = 2,843.71 × 1,249.43
  4. Step 4: Simplify right side
    1,895.81x = 3,552,999.24
  5. Step 5: Solve for x
    x = 3,552,999.24/1,895.81
  6. Step 6: Final answer
    x = 1,874.14

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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.