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Finding the Fourth Proportional to 11,892.96, 16,414.20 and 7,713.36

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Solution

The fourth proportional to 11,892.96, 16,414.20 and 7,713.36 is: 10,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.96 : 16,414.20 = 7,713.36 : x
  2. Step 2: Convert to fraction form
    11,892.96/16,414.20 = 7,713.36/x
  3. Step 3: Cross multiply
    11,892.96x = 16,414.20 × 7,713.36
  4. Step 4: Simplify right side
    11,892.96x = 126,608,633.71
  5. Step 5: Solve for x
    x = 126,608,633.71/11,892.96
  6. Step 6: Final answer
    x = 10,645.68

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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.