Home / 3,860-5,786.40-2,102.44

Finding the Fourth Proportional to 3,860, 5,786.40 and 2,102.44

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Solution

The fourth proportional to 3,860, 5,786.40 and 2,102.44 is: 3,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860 : 5,786.40 = 2,102.44 : x
  2. Step 2: Convert to fraction form
    3,860/5,786.40 = 2,102.44/x
  3. Step 3: Cross multiply
    3,860x = 5,786.40 × 2,102.44
  4. Step 4: Simplify right side
    3,860x = 12,165,558.82
  5. Step 5: Solve for x
    x = 12,165,558.82/3,860
  6. Step 6: Final answer
    x = 3,151.70

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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.