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Finding the Fourth Proportional to 4,189.68, 6,291.82 and 3,860

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Solution

The fourth proportional to 4,189.68, 6,291.82 and 3,860 is: 5,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.68 : 6,291.82 = 3,860 : x
  2. Step 2: Convert to fraction form
    4,189.68/6,291.82 = 3,860/x
  3. Step 3: Cross multiply
    4,189.68x = 6,291.82 × 3,860
  4. Step 4: Simplify right side
    4,189.68x = 24,286,425.20
  5. Step 5: Solve for x
    x = 24,286,425.20/4,189.68
  6. Step 6: Final answer
    x = 5,796.73

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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.