Home / 2,121.68-3,181.30-821.63

Finding the Fourth Proportional to 2,121.68, 3,181.30 and 821.63

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Solution

The fourth proportional to 2,121.68, 3,181.30 and 821.63 is: 1,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.68 : 3,181.30 = 821.63 : x
  2. Step 2: Convert to fraction form
    2,121.68/3,181.30 = 821.63/x
  3. Step 3: Cross multiply
    2,121.68x = 3,181.30 × 821.63
  4. Step 4: Simplify right side
    2,121.68x = 2,613,841.83
  5. Step 5: Solve for x
    x = 2,613,841.83/2,121.68
  6. Step 6: Final answer
    x = 1,231.97

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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.