Home / 2,137.02-3,203.33-820.41

Finding the Fourth Proportional to 2,137.02, 3,203.33 and 820.41

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Solution

The fourth proportional to 2,137.02, 3,203.33 and 820.41 is: 1,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.02 : 3,203.33 = 820.41 : x
  2. Step 2: Convert to fraction form
    2,137.02/3,203.33 = 820.41/x
  3. Step 3: Cross multiply
    2,137.02x = 3,203.33 × 820.41
  4. Step 4: Simplify right side
    2,137.02x = 2,628,043.97
  5. Step 5: Solve for x
    x = 2,628,043.97/2,137.02
  6. Step 6: Final answer
    x = 1,229.77

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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.