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Finding the Fourth Proportional to 7,797.80, 11,695.29 and 2,249.78

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Solution

The fourth proportional to 7,797.80, 11,695.29 and 2,249.78 is: 3,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.80 : 11,695.29 = 2,249.78 : x
  2. Step 2: Convert to fraction form
    7,797.80/11,695.29 = 2,249.78/x
  3. Step 3: Cross multiply
    7,797.80x = 11,695.29 × 2,249.78
  4. Step 4: Simplify right side
    7,797.80x = 26,311,829.54
  5. Step 5: Solve for x
    x = 26,311,829.54/7,797.80
  6. Step 6: Final answer
    x = 3,374.26

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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.