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Finding the Fourth Proportional to 8,729.67, 13,098 and 3,183.42

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Solution

The fourth proportional to 8,729.67, 13,098 and 3,183.42 is: 4,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.67 : 13,098 = 3,183.42 : x
  2. Step 2: Convert to fraction form
    8,729.67/13,098 = 3,183.42/x
  3. Step 3: Cross multiply
    8,729.67x = 13,098 × 3,183.42
  4. Step 4: Simplify right side
    8,729.67x = 41,696,435.16
  5. Step 5: Solve for x
    x = 41,696,435.16/8,729.67
  6. Step 6: Final answer
    x = 4,776.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.