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Finding the Fourth Proportional to 6,892, 10,338 and 2,275.36

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Solution

The fourth proportional to 6,892, 10,338 and 2,275.36 is: 3,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892 : 10,338 = 2,275.36 : x
  2. Step 2: Convert to fraction form
    6,892/10,338 = 2,275.36/x
  3. Step 3: Cross multiply
    6,892x = 10,338 × 2,275.36
  4. Step 4: Simplify right side
    6,892x = 23,522,671.68
  5. Step 5: Solve for x
    x = 23,522,671.68/6,892
  6. Step 6: Final answer
    x = 3,413.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.