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Finding the Fourth Proportional to 2,551.77, 3,824.42 and 2,205.09

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Solution

The fourth proportional to 2,551.77, 3,824.42 and 2,205.09 is: 3,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.77 : 3,824.42 = 2,205.09 : x
  2. Step 2: Convert to fraction form
    2,551.77/3,824.42 = 2,205.09/x
  3. Step 3: Cross multiply
    2,551.77x = 3,824.42 × 2,205.09
  4. Step 4: Simplify right side
    2,551.77x = 8,433,179.27
  5. Step 5: Solve for x
    x = 8,433,179.27/2,551.77
  6. Step 6: Final answer
    x = 3,304.84

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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.