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Finding the Fourth Proportional to 6,105.88, 8,425.99 and 3,311.38

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Solution

The fourth proportional to 6,105.88, 8,425.99 and 3,311.38 is: 4,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.88 : 8,425.99 = 3,311.38 : x
  2. Step 2: Convert to fraction form
    6,105.88/8,425.99 = 3,311.38/x
  3. Step 3: Cross multiply
    6,105.88x = 8,425.99 × 3,311.38
  4. Step 4: Simplify right side
    6,105.88x = 27,901,654.77
  5. Step 5: Solve for x
    x = 27,901,654.77/6,105.88
  6. Step 6: Final answer
    x = 4,569.64

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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.