Home / 2,381.42-3,571.59-821.36

Finding the Fourth Proportional to 2,381.42, 3,571.59 and 821.36

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Solution

The fourth proportional to 2,381.42, 3,571.59 and 821.36 is: 1,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.42 : 3,571.59 = 821.36 : x
  2. Step 2: Convert to fraction form
    2,381.42/3,571.59 = 821.36/x
  3. Step 3: Cross multiply
    2,381.42x = 3,571.59 × 821.36
  4. Step 4: Simplify right side
    2,381.42x = 2,933,553.08
  5. Step 5: Solve for x
    x = 2,933,553.08/2,381.42
  6. Step 6: Final answer
    x = 1,231.85

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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.