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Finding the Fourth Proportional to 7,766, 11,640.86 and 3,382.28

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Solution

The fourth proportional to 7,766, 11,640.86 and 3,382.28 is: 5,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766 : 11,640.86 = 3,382.28 : x
  2. Step 2: Convert to fraction form
    7,766/11,640.86 = 3,382.28/x
  3. Step 3: Cross multiply
    7,766x = 11,640.86 × 3,382.28
  4. Step 4: Simplify right side
    7,766x = 39,372,647.96
  5. Step 5: Solve for x
    x = 39,372,647.96/7,766
  6. Step 6: Final answer
    x = 5,069.87

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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.