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Finding the Fourth Proportional to 8,423.38, 12,634.98 and 3,806.38

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Solution

The fourth proportional to 8,423.38, 12,634.98 and 3,806.38 is: 5,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.38 : 12,634.98 = 3,806.38 : x
  2. Step 2: Convert to fraction form
    8,423.38/12,634.98 = 3,806.38/x
  3. Step 3: Cross multiply
    8,423.38x = 12,634.98 × 3,806.38
  4. Step 4: Simplify right side
    8,423.38x = 48,093,535.17
  5. Step 5: Solve for x
    x = 48,093,535.17/8,423.38
  6. Step 6: Final answer
    x = 5,709.53

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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.