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Finding the Fourth Proportional to 3,910, 5,863.57 and 1,135.92

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Solution

The fourth proportional to 3,910, 5,863.57 and 1,135.92 is: 1,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910 : 5,863.57 = 1,135.92 : x
  2. Step 2: Convert to fraction form
    3,910/5,863.57 = 1,135.92/x
  3. Step 3: Cross multiply
    3,910x = 5,863.57 × 1,135.92
  4. Step 4: Simplify right side
    3,910x = 6,660,546.43
  5. Step 5: Solve for x
    x = 6,660,546.43/3,910
  6. Step 6: Final answer
    x = 1,703.46

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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.