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Finding the Fourth Proportional to 7,580.98, 11,373 and 3,198.43

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Solution

The fourth proportional to 7,580.98, 11,373 and 3,198.43 is: 4,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.98 : 11,373 = 3,198.43 : x
  2. Step 2: Convert to fraction form
    7,580.98/11,373 = 3,198.43/x
  3. Step 3: Cross multiply
    7,580.98x = 11,373 × 3,198.43
  4. Step 4: Simplify right side
    7,580.98x = 36,375,744.39
  5. Step 5: Solve for x
    x = 36,375,744.39/7,580.98
  6. Step 6: Final answer
    x = 4,798.29

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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.