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Finding the Fourth Proportional to 11,575.69, 15,978.09 and 7,383.94

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Solution

The fourth proportional to 11,575.69, 15,978.09 and 7,383.94 is: 10,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.69 : 15,978.09 = 7,383.94 : x
  2. Step 2: Convert to fraction form
    11,575.69/15,978.09 = 7,383.94/x
  3. Step 3: Cross multiply
    11,575.69x = 15,978.09 × 7,383.94
  4. Step 4: Simplify right side
    11,575.69x = 117,981,245.62
  5. Step 5: Solve for x
    x = 117,981,245.62/11,575.69
  6. Step 6: Final answer
    x = 10,192.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.