Home / 2,122.34-3,181.64-822.90

Finding the Fourth Proportional to 2,122.34, 3,181.64 and 822.90

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Solution

The fourth proportional to 2,122.34, 3,181.64 and 822.90 is: 1,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.34 : 3,181.64 = 822.90 : x
  2. Step 2: Convert to fraction form
    2,122.34/3,181.64 = 822.90/x
  3. Step 3: Cross multiply
    2,122.34x = 3,181.64 × 822.90
  4. Step 4: Simplify right side
    2,122.34x = 2,618,171.56
  5. Step 5: Solve for x
    x = 2,618,171.56/2,122.34
  6. Step 6: Final answer
    x = 1,233.62

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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.