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Finding the Fourth Proportional to 8,269.86, 12,408.48 and 3,349.14

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Solution

The fourth proportional to 8,269.86, 12,408.48 and 3,349.14 is: 5,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.86 : 12,408.48 = 3,349.14 : x
  2. Step 2: Convert to fraction form
    8,269.86/12,408.48 = 3,349.14/x
  3. Step 3: Cross multiply
    8,269.86x = 12,408.48 × 3,349.14
  4. Step 4: Simplify right side
    8,269.86x = 41,557,736.71
  5. Step 5: Solve for x
    x = 41,557,736.71/8,269.86
  6. Step 6: Final answer
    x = 5,025.20

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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.