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Finding the Fourth Proportional to 8,226.15, 11,348.07 and 5,392.28

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Solution

The fourth proportional to 8,226.15, 11,348.07 and 5,392.28 is: 7,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.15 : 11,348.07 = 5,392.28 : x
  2. Step 2: Convert to fraction form
    8,226.15/11,348.07 = 5,392.28/x
  3. Step 3: Cross multiply
    8,226.15x = 11,348.07 × 5,392.28
  4. Step 4: Simplify right side
    8,226.15x = 61,191,982.38
  5. Step 5: Solve for x
    x = 61,191,982.38/8,226.15
  6. Step 6: Final answer
    x = 7,438.71

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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.