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Finding the Fourth Proportional to 7,443, 11,171.79 and 5,474.70

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Solution

The fourth proportional to 7,443, 11,171.79 and 5,474.70 is: 8,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443 : 11,171.79 = 5,474.70 : x
  2. Step 2: Convert to fraction form
    7,443/11,171.79 = 5,474.70/x
  3. Step 3: Cross multiply
    7,443x = 11,171.79 × 5,474.70
  4. Step 4: Simplify right side
    7,443x = 61,162,198.71
  5. Step 5: Solve for x
    x = 61,162,198.71/7,443
  6. Step 6: Final answer
    x = 8,217.41

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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.