Home / 2,135.50-3,203.63-819.20

Finding the Fourth Proportional to 2,135.50, 3,203.63 and 819.20

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Solution

The fourth proportional to 2,135.50, 3,203.63 and 819.20 is: 1,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.50 : 3,203.63 = 819.20 : x
  2. Step 2: Convert to fraction form
    2,135.50/3,203.63 = 819.20/x
  3. Step 3: Cross multiply
    2,135.50x = 3,203.63 × 819.20
  4. Step 4: Simplify right side
    2,135.50x = 2,624,413.70
  5. Step 5: Solve for x
    x = 2,624,413.70/2,135.50
  6. Step 6: Final answer
    x = 1,228.95

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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.