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Finding the Fourth Proportional to 22,682.13, 34,028.78 and 7,891.18

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Solution

The fourth proportional to 22,682.13, 34,028.78 and 7,891.18 is: 11,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.13 : 34,028.78 = 7,891.18 : x
  2. Step 2: Convert to fraction form
    22,682.13/34,028.78 = 7,891.18/x
  3. Step 3: Cross multiply
    22,682.13x = 34,028.78 × 7,891.18
  4. Step 4: Simplify right side
    22,682.13x = 268,527,018.56
  5. Step 5: Solve for x
    x = 268,527,018.56/22,682.13
  6. Step 6: Final answer
    x = 11,838.70

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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.