Home / 2,120.04-3,180.87-821.61

Finding the Fourth Proportional to 2,120.04, 3,180.87 and 821.61

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Solution

The fourth proportional to 2,120.04, 3,180.87 and 821.61 is: 1,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.04 : 3,180.87 = 821.61 : x
  2. Step 2: Convert to fraction form
    2,120.04/3,180.87 = 821.61/x
  3. Step 3: Cross multiply
    2,120.04x = 3,180.87 × 821.61
  4. Step 4: Simplify right side
    2,120.04x = 2,613,434.60
  5. Step 5: Solve for x
    x = 2,613,434.60/2,120.04
  6. Step 6: Final answer
    x = 1,232.73

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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.