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Finding the Fourth Proportional to 4,387.86, 6,584.22 and 2,198.43

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Solution

The fourth proportional to 4,387.86, 6,584.22 and 2,198.43 is: 3,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.86 : 6,584.22 = 2,198.43 : x
  2. Step 2: Convert to fraction form
    4,387.86/6,584.22 = 2,198.43/x
  3. Step 3: Cross multiply
    4,387.86x = 6,584.22 × 2,198.43
  4. Step 4: Simplify right side
    4,387.86x = 14,474,946.77
  5. Step 5: Solve for x
    x = 14,474,946.77/4,387.86
  6. Step 6: Final answer
    x = 3,298.86

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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.