Home / 2,135.86-3,201.62-819.27

Finding the Fourth Proportional to 2,135.86, 3,201.62 and 819.27

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Solution

The fourth proportional to 2,135.86, 3,201.62 and 819.27 is: 1,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.86 : 3,201.62 = 819.27 : x
  2. Step 2: Convert to fraction form
    2,135.86/3,201.62 = 819.27/x
  3. Step 3: Cross multiply
    2,135.86x = 3,201.62 × 819.27
  4. Step 4: Simplify right side
    2,135.86x = 2,622,987.12
  5. Step 5: Solve for x
    x = 2,622,987.12/2,135.86
  6. Step 6: Final answer
    x = 1,228.07

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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.