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Finding the Fourth Proportional to 9,415.38, 12,993.23 and 5,224.44

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Solution

The fourth proportional to 9,415.38, 12,993.23 and 5,224.44 is: 7,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.38 : 12,993.23 = 5,224.44 : x
  2. Step 2: Convert to fraction form
    9,415.38/12,993.23 = 5,224.44/x
  3. Step 3: Cross multiply
    9,415.38x = 12,993.23 × 5,224.44
  4. Step 4: Simplify right side
    9,415.38x = 67,882,350.54
  5. Step 5: Solve for x
    x = 67,882,350.54/9,415.38
  6. Step 6: Final answer
    x = 7,209.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.