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Finding the Fourth Proportional to 11,778.20, 17,673.48 and 5,208.92

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Solution

The fourth proportional to 11,778.20, 17,673.48 and 5,208.92 is: 7,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.20 : 17,673.48 = 5,208.92 : x
  2. Step 2: Convert to fraction form
    11,778.20/17,673.48 = 5,208.92/x
  3. Step 3: Cross multiply
    11,778.20x = 17,673.48 × 5,208.92
  4. Step 4: Simplify right side
    11,778.20x = 92,059,743.44
  5. Step 5: Solve for x
    x = 92,059,743.44/11,778.20
  6. Step 6: Final answer
    x = 7,816.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.