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Finding the Fourth Proportional to 3,668.43, 5,489.65 and 2,282.43

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Solution

The fourth proportional to 3,668.43, 5,489.65 and 2,282.43 is: 3,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.43 : 5,489.65 = 2,282.43 : x
  2. Step 2: Convert to fraction form
    3,668.43/5,489.65 = 2,282.43/x
  3. Step 3: Cross multiply
    3,668.43x = 5,489.65 × 2,282.43
  4. Step 4: Simplify right side
    3,668.43x = 12,529,741.85
  5. Step 5: Solve for x
    x = 12,529,741.85/3,668.43
  6. Step 6: Final answer
    x = 3,415.56

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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.