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Finding the Fourth Proportional to 2,855.50, 3,940.68 and 1,596.61

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Solution

The fourth proportional to 2,855.50, 3,940.68 and 1,596.61 is: 2,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.50 : 3,940.68 = 1,596.61 : x
  2. Step 2: Convert to fraction form
    2,855.50/3,940.68 = 1,596.61/x
  3. Step 3: Cross multiply
    2,855.50x = 3,940.68 × 1,596.61
  4. Step 4: Simplify right side
    2,855.50x = 6,291,729.09
  5. Step 5: Solve for x
    x = 6,291,729.09/2,855.50
  6. Step 6: Final answer
    x = 2,203.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.