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Finding the Fourth Proportional to 2,596.86, 3,900.69 and 2,129.22

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Solution

The fourth proportional to 2,596.86, 3,900.69 and 2,129.22 is: 3,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.86 : 3,900.69 = 2,129.22 : x
  2. Step 2: Convert to fraction form
    2,596.86/3,900.69 = 2,129.22/x
  3. Step 3: Cross multiply
    2,596.86x = 3,900.69 × 2,129.22
  4. Step 4: Simplify right side
    2,596.86x = 8,305,427.16
  5. Step 5: Solve for x
    x = 8,305,427.16/2,596.86
  6. Step 6: Final answer
    x = 3,198.26

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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.