Home / 2,119.76-3,180.96-821.22

Finding the Fourth Proportional to 2,119.76, 3,180.96 and 821.22

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Solution

The fourth proportional to 2,119.76, 3,180.96 and 821.22 is: 1,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.76 : 3,180.96 = 821.22 : x
  2. Step 2: Convert to fraction form
    2,119.76/3,180.96 = 821.22/x
  3. Step 3: Cross multiply
    2,119.76x = 3,180.96 × 821.22
  4. Step 4: Simplify right side
    2,119.76x = 2,612,267.97
  5. Step 5: Solve for x
    x = 2,612,267.97/2,119.76
  6. Step 6: Final answer
    x = 1,232.34

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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.