Home / 2,121.82-3,181.50-821.77

Finding the Fourth Proportional to 2,121.82, 3,181.50 and 821.77

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Solution

The fourth proportional to 2,121.82, 3,181.50 and 821.77 is: 1,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.82 : 3,181.50 = 821.77 : x
  2. Step 2: Convert to fraction form
    2,121.82/3,181.50 = 821.77/x
  3. Step 3: Cross multiply
    2,121.82x = 3,181.50 × 821.77
  4. Step 4: Simplify right side
    2,121.82x = 2,614,453.30
  5. Step 5: Solve for x
    x = 2,614,453.30/2,121.82
  6. Step 6: Final answer
    x = 1,232.18

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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.