Home / 2,135.90-3,203.38-819.20

Finding the Fourth Proportional to 2,135.90, 3,203.38 and 819.20

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Solution

The fourth proportional to 2,135.90, 3,203.38 and 819.20 is: 1,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.90 : 3,203.38 = 819.20 : x
  2. Step 2: Convert to fraction form
    2,135.90/3,203.38 = 819.20/x
  3. Step 3: Cross multiply
    2,135.90x = 3,203.38 × 819.20
  4. Step 4: Simplify right side
    2,135.90x = 2,624,208.90
  5. Step 5: Solve for x
    x = 2,624,208.90/2,135.90
  6. Step 6: Final answer
    x = 1,228.62

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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.