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Finding the Fourth Proportional to 19,668.66, 29,481.97 and 7,806

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Solution

The fourth proportional to 19,668.66, 29,481.97 and 7,806 is: 11,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668.66 : 29,481.97 = 7,806 : x
  2. Step 2: Convert to fraction form
    19,668.66/29,481.97 = 7,806/x
  3. Step 3: Cross multiply
    19,668.66x = 29,481.97 × 7,806
  4. Step 4: Simplify right side
    19,668.66x = 230,136,257.82
  5. Step 5: Solve for x
    x = 230,136,257.82/19,668.66
  6. Step 6: Final answer
    x = 11,700.66

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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.