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Finding the Fourth Proportional to 3,658.43, 5,489.01 and 2,198.63

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Solution

The fourth proportional to 3,658.43, 5,489.01 and 2,198.63 is: 3,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.43 : 5,489.01 = 2,198.63 : x
  2. Step 2: Convert to fraction form
    3,658.43/5,489.01 = 2,198.63/x
  3. Step 3: Cross multiply
    3,658.43x = 5,489.01 × 2,198.63
  4. Step 4: Simplify right side
    3,658.43x = 12,068,302.06
  5. Step 5: Solve for x
    x = 12,068,302.06/3,658.43
  6. Step 6: Final answer
    x = 3,298.77

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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.