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Finding the Fourth Proportional to 6,850.38, 9,458.25 and 5,254.26

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Solution

The fourth proportional to 6,850.38, 9,458.25 and 5,254.26 is: 7,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.38 : 9,458.25 = 5,254.26 : x
  2. Step 2: Convert to fraction form
    6,850.38/9,458.25 = 5,254.26/x
  3. Step 3: Cross multiply
    6,850.38x = 9,458.25 × 5,254.26
  4. Step 4: Simplify right side
    6,850.38x = 49,696,104.65
  5. Step 5: Solve for x
    x = 49,696,104.65/6,850.38
  6. Step 6: Final answer
    x = 7,254.50

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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.