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Finding the Fourth Proportional to 22,843.28, 31,524.30 and 12,772.80

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Solution

The fourth proportional to 22,843.28, 31,524.30 and 12,772.80 is: 17,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.28 : 31,524.30 = 12,772.80 : x
  2. Step 2: Convert to fraction form
    22,843.28/31,524.30 = 12,772.80/x
  3. Step 3: Cross multiply
    22,843.28x = 31,524.30 × 12,772.80
  4. Step 4: Simplify right side
    22,843.28x = 402,653,579.04
  5. Step 5: Solve for x
    x = 402,653,579.04/22,843.28
  6. Step 6: Final answer
    x = 17,626.78

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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.