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Finding the Fourth Proportional to 7,716.69, 11,575.01 and 2,786.33

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Solution

The fourth proportional to 7,716.69, 11,575.01 and 2,786.33 is: 4,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.69 : 11,575.01 = 2,786.33 : x
  2. Step 2: Convert to fraction form
    7,716.69/11,575.01 = 2,786.33/x
  3. Step 3: Cross multiply
    7,716.69x = 11,575.01 × 2,786.33
  4. Step 4: Simplify right side
    7,716.69x = 32,251,725.81
  5. Step 5: Solve for x
    x = 32,251,725.81/7,716.69
  6. Step 6: Final answer
    x = 4,179.48

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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.