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Finding the Fourth Proportional to 7,767.12, 11,652 and 2,843.64

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Solution

The fourth proportional to 7,767.12, 11,652 and 2,843.64 is: 4,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.12 : 11,652 = 2,843.64 : x
  2. Step 2: Convert to fraction form
    7,767.12/11,652 = 2,843.64/x
  3. Step 3: Cross multiply
    7,767.12x = 11,652 × 2,843.64
  4. Step 4: Simplify right side
    7,767.12x = 33,134,093.28
  5. Step 5: Solve for x
    x = 33,134,093.28/7,767.12
  6. Step 6: Final answer
    x = 4,265.94

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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.