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Finding the Fourth Proportional to 11,766, 17,645.26 and 3,866.69

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Solution

The fourth proportional to 11,766, 17,645.26 and 3,866.69 is: 5,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766 : 17,645.26 = 3,866.69 : x
  2. Step 2: Convert to fraction form
    11,766/17,645.26 = 3,866.69/x
  3. Step 3: Cross multiply
    11,766x = 17,645.26 × 3,866.69
  4. Step 4: Simplify right side
    11,766x = 68,228,784.84
  5. Step 5: Solve for x
    x = 68,228,784.84/11,766
  6. Step 6: Final answer
    x = 5,798.81

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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.