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Finding the Fourth Proportional to 22,270.82, 30,734.20 and 12,199.68

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Solution

The fourth proportional to 22,270.82, 30,734.20 and 12,199.68 is: 16,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.82 : 30,734.20 = 12,199.68 : x
  2. Step 2: Convert to fraction form
    22,270.82/30,734.20 = 12,199.68/x
  3. Step 3: Cross multiply
    22,270.82x = 30,734.20 × 12,199.68
  4. Step 4: Simplify right side
    22,270.82x = 374,947,405.06
  5. Step 5: Solve for x
    x = 374,947,405.06/22,270.82
  6. Step 6: Final answer
    x = 16,835.81

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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.