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Finding the Fourth Proportional to 6,634.38, 9,153.62 and 4,115.28

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Solution

The fourth proportional to 6,634.38, 9,153.62 and 4,115.28 is: 5,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.38 : 9,153.62 = 4,115.28 : x
  2. Step 2: Convert to fraction form
    6,634.38/9,153.62 = 4,115.28/x
  3. Step 3: Cross multiply
    6,634.38x = 9,153.62 × 4,115.28
  4. Step 4: Simplify right side
    6,634.38x = 37,669,709.31
  5. Step 5: Solve for x
    x = 37,669,709.31/6,634.38
  6. Step 6: Final answer
    x = 5,677.95

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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.