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Finding the Fourth Proportional to 19,668.16, 29,481.22 and 7,805.50

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Solution

The fourth proportional to 19,668.16, 29,481.22 and 7,805.50 is: 11,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668.16 : 29,481.22 = 7,805.50 : x
  2. Step 2: Convert to fraction form
    19,668.16/29,481.22 = 7,805.50/x
  3. Step 3: Cross multiply
    19,668.16x = 29,481.22 × 7,805.50
  4. Step 4: Simplify right side
    19,668.16x = 230,115,662.71
  5. Step 5: Solve for x
    x = 230,115,662.71/19,668.16
  6. Step 6: Final answer
    x = 11,699.91

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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.