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Finding the Fourth Proportional to 12,299.10, 18,446.19 and 3,531.96

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Solution

The fourth proportional to 12,299.10, 18,446.19 and 3,531.96 is: 5,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.10 : 18,446.19 = 3,531.96 : x
  2. Step 2: Convert to fraction form
    12,299.10/18,446.19 = 3,531.96/x
  3. Step 3: Cross multiply
    12,299.10x = 18,446.19 × 3,531.96
  4. Step 4: Simplify right side
    12,299.10x = 65,151,205.23
  5. Step 5: Solve for x
    x = 65,151,205.23/12,299.10
  6. Step 6: Final answer
    x = 5,297.23

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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.