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Finding the Fourth Proportional to 7,786.04, 11,668.11 and 3,394.29

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Solution

The fourth proportional to 7,786.04, 11,668.11 and 3,394.29 is: 5,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.04 : 11,668.11 = 3,394.29 : x
  2. Step 2: Convert to fraction form
    7,786.04/11,668.11 = 3,394.29/x
  3. Step 3: Cross multiply
    7,786.04x = 11,668.11 × 3,394.29
  4. Step 4: Simplify right side
    7,786.04x = 39,604,949.09
  5. Step 5: Solve for x
    x = 39,604,949.09/7,786.04
  6. Step 6: Final answer
    x = 5,086.66

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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.