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Finding the Fourth Proportional to 22,299.50, 30,774.13 and 12,228.37

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Solution

The fourth proportional to 22,299.50, 30,774.13 and 12,228.37 is: 16,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299.50 : 30,774.13 = 12,228.37 : x
  2. Step 2: Convert to fraction form
    22,299.50/30,774.13 = 12,228.37/x
  3. Step 3: Cross multiply
    22,299.50x = 30,774.13 × 12,228.37
  4. Step 4: Simplify right side
    22,299.50x = 376,317,340.56
  5. Step 5: Solve for x
    x = 376,317,340.56/22,299.50
  6. Step 6: Final answer
    x = 16,875.59

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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.