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Finding the Fourth Proportional to 8,464.65, 12,693.46 and 3,198.75

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Solution

The fourth proportional to 8,464.65, 12,693.46 and 3,198.75 is: 4,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.65 : 12,693.46 = 3,198.75 : x
  2. Step 2: Convert to fraction form
    8,464.65/12,693.46 = 3,198.75/x
  3. Step 3: Cross multiply
    8,464.65x = 12,693.46 × 3,198.75
  4. Step 4: Simplify right side
    8,464.65x = 40,603,205.18
  5. Step 5: Solve for x
    x = 40,603,205.18/8,464.65
  6. Step 6: Final answer
    x = 4,796.80

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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.