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Finding the Fourth Proportional to 8,394.84, 12,589.02 and 2,847.24

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Solution

The fourth proportional to 8,394.84, 12,589.02 and 2,847.24 is: 4,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.84 : 12,589.02 = 2,847.24 : x
  2. Step 2: Convert to fraction form
    8,394.84/12,589.02 = 2,847.24/x
  3. Step 3: Cross multiply
    8,394.84x = 12,589.02 × 2,847.24
  4. Step 4: Simplify right side
    8,394.84x = 35,843,961.30
  5. Step 5: Solve for x
    x = 35,843,961.30/8,394.84
  6. Step 6: Final answer
    x = 4,269.76

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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.