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Finding the Fourth Proportional to 3,205.58, 4,800.16 and 2,839.25

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Solution

The fourth proportional to 3,205.58, 4,800.16 and 2,839.25 is: 4,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.58 : 4,800.16 = 2,839.25 : x
  2. Step 2: Convert to fraction form
    3,205.58/4,800.16 = 2,839.25/x
  3. Step 3: Cross multiply
    3,205.58x = 4,800.16 × 2,839.25
  4. Step 4: Simplify right side
    3,205.58x = 13,628,869.83
  5. Step 5: Solve for x
    x = 13,628,869.83/3,205.58
  6. Step 6: Final answer
    x = 4,251.61

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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.