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Finding the Fourth Proportional to 2,599.85, 3,905.22 and 2,209.79

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Solution

The fourth proportional to 2,599.85, 3,905.22 and 2,209.79 is: 3,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.85 : 3,905.22 = 2,209.79 : x
  2. Step 2: Convert to fraction form
    2,599.85/3,905.22 = 2,209.79/x
  3. Step 3: Cross multiply
    2,599.85x = 3,905.22 × 2,209.79
  4. Step 4: Simplify right side
    2,599.85x = 8,629,716.10
  5. Step 5: Solve for x
    x = 8,629,716.10/2,599.85
  6. Step 6: Final answer
    x = 3,319.31

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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.