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Finding the Fourth Proportional to 3,825, 5,739.12 and 2,286

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Solution

The fourth proportional to 3,825, 5,739.12 and 2,286 is: 3,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825 : 5,739.12 = 2,286 : x
  2. Step 2: Convert to fraction form
    3,825/5,739.12 = 2,286/x
  3. Step 3: Cross multiply
    3,825x = 5,739.12 × 2,286
  4. Step 4: Simplify right side
    3,825x = 13,119,628.32
  5. Step 5: Solve for x
    x = 13,119,628.32/3,825
  6. Step 6: Final answer
    x = 3,429.97

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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.