Home / 2,382.19-3,571.98-821.32

Finding the Fourth Proportional to 2,382.19, 3,571.98 and 821.32

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Solution

The fourth proportional to 2,382.19, 3,571.98 and 821.32 is: 1,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.19 : 3,571.98 = 821.32 : x
  2. Step 2: Convert to fraction form
    2,382.19/3,571.98 = 821.32/x
  3. Step 3: Cross multiply
    2,382.19x = 3,571.98 × 821.32
  4. Step 4: Simplify right side
    2,382.19x = 2,933,726.60
  5. Step 5: Solve for x
    x = 2,933,726.60/2,382.19
  6. Step 6: Final answer
    x = 1,231.53

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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.