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Finding the Fourth Proportional to 3,908.38, 5,863.32 and 1,443.40

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Solution

The fourth proportional to 3,908.38, 5,863.32 and 1,443.40 is: 2,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.38 : 5,863.32 = 1,443.40 : x
  2. Step 2: Convert to fraction form
    3,908.38/5,863.32 = 1,443.40/x
  3. Step 3: Cross multiply
    3,908.38x = 5,863.32 × 1,443.40
  4. Step 4: Simplify right side
    3,908.38x = 8,463,116.09
  5. Step 5: Solve for x
    x = 8,463,116.09/3,908.38
  6. Step 6: Final answer
    x = 2,165.38

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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.