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Finding the Fourth Proportional to 11,935.92, 16,464.16 and 7,685.56

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Solution

The fourth proportional to 11,935.92, 16,464.16 and 7,685.56 is: 10,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,935.92 : 16,464.16 = 7,685.56 : x
  2. Step 2: Convert to fraction form
    11,935.92/16,464.16 = 7,685.56/x
  3. Step 3: Cross multiply
    11,935.92x = 16,464.16 × 7,685.56
  4. Step 4: Simplify right side
    11,935.92x = 126,536,289.53
  5. Step 5: Solve for x
    x = 126,536,289.53/11,935.92
  6. Step 6: Final answer
    x = 10,601.30

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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.