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Finding the Fourth Proportional to 8,546.22, 12,809.52 and 3,919.50

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Solution

The fourth proportional to 8,546.22, 12,809.52 and 3,919.50 is: 5,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.22 : 12,809.52 = 3,919.50 : x
  2. Step 2: Convert to fraction form
    8,546.22/12,809.52 = 3,919.50/x
  3. Step 3: Cross multiply
    8,546.22x = 12,809.52 × 3,919.50
  4. Step 4: Simplify right side
    8,546.22x = 50,206,913.64
  5. Step 5: Solve for x
    x = 50,206,913.64/8,546.22
  6. Step 6: Final answer
    x = 5,874.75

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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.