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Finding the Fourth Proportional to 11,805.92, 17,693.60 and 5,478.48

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Solution

The fourth proportional to 11,805.92, 17,693.60 and 5,478.48 is: 8,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.92 : 17,693.60 = 5,478.48 : x
  2. Step 2: Convert to fraction form
    11,805.92/17,693.60 = 5,478.48/x
  3. Step 3: Cross multiply
    11,805.92x = 17,693.60 × 5,478.48
  4. Step 4: Simplify right side
    11,805.92x = 96,934,033.73
  5. Step 5: Solve for x
    x = 96,934,033.73/11,805.92
  6. Step 6: Final answer
    x = 8,210.63

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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.