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Finding the Fourth Proportional to 22,299.50, 30,772.47 and 12,227.70

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Solution

The fourth proportional to 22,299.50, 30,772.47 and 12,227.70 is: 16,873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299.50 : 30,772.47 = 12,227.70 : x
  2. Step 2: Convert to fraction form
    22,299.50/30,772.47 = 12,227.70/x
  3. Step 3: Cross multiply
    22,299.50x = 30,772.47 × 12,227.70
  4. Step 4: Simplify right side
    22,299.50x = 376,276,531.42
  5. Step 5: Solve for x
    x = 376,276,531.42/22,299.50
  6. Step 6: Final answer
    x = 16,873.77

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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.