Home / 2,122.88-3,182.42-824.04

Finding the Fourth Proportional to 2,122.88, 3,182.42 and 824.04

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Solution

The fourth proportional to 2,122.88, 3,182.42 and 824.04 is: 1,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.88 : 3,182.42 = 824.04 : x
  2. Step 2: Convert to fraction form
    2,122.88/3,182.42 = 824.04/x
  3. Step 3: Cross multiply
    2,122.88x = 3,182.42 × 824.04
  4. Step 4: Simplify right side
    2,122.88x = 2,622,441.38
  5. Step 5: Solve for x
    x = 2,622,441.38/2,122.88
  6. Step 6: Final answer
    x = 1,235.32

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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.