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Finding the Fourth Proportional to 7,882.09, 10,871.13 and 5,049.73

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Solution

The fourth proportional to 7,882.09, 10,871.13 and 5,049.73 is: 6,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.09 : 10,871.13 = 5,049.73 : x
  2. Step 2: Convert to fraction form
    7,882.09/10,871.13 = 5,049.73/x
  3. Step 3: Cross multiply
    7,882.09x = 10,871.13 × 5,049.73
  4. Step 4: Simplify right side
    7,882.09x = 54,896,224.92
  5. Step 5: Solve for x
    x = 54,896,224.92/7,882.09
  6. Step 6: Final answer
    x = 6,964.68

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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.