Home / 2,122.32-3,182.25-822.27

Finding the Fourth Proportional to 2,122.32, 3,182.25 and 822.27

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Solution

The fourth proportional to 2,122.32, 3,182.25 and 822.27 is: 1,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.32 : 3,182.25 = 822.27 : x
  2. Step 2: Convert to fraction form
    2,122.32/3,182.25 = 822.27/x
  3. Step 3: Cross multiply
    2,122.32x = 3,182.25 × 822.27
  4. Step 4: Simplify right side
    2,122.32x = 2,616,668.71
  5. Step 5: Solve for x
    x = 2,616,668.71/2,122.32
  6. Step 6: Final answer
    x = 1,232.93

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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.