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Finding the Fourth Proportional to 3,209, 4,813.48 and 2,563.82

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Solution

The fourth proportional to 3,209, 4,813.48 and 2,563.82 is: 3,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209 : 4,813.48 = 2,563.82 : x
  2. Step 2: Convert to fraction form
    3,209/4,813.48 = 2,563.82/x
  3. Step 3: Cross multiply
    3,209x = 4,813.48 × 2,563.82
  4. Step 4: Simplify right side
    3,209x = 12,340,896.29
  5. Step 5: Solve for x
    x = 12,340,896.29/3,209
  6. Step 6: Final answer
    x = 3,845.71

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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.