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Finding the Fourth Proportional to 2,381.81, 3,571.83 and 821.41

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Solution

The fourth proportional to 2,381.81, 3,571.83 and 821.41 is: 1,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.81 : 3,571.83 = 821.41 : x
  2. Step 2: Convert to fraction form
    2,381.81/3,571.83 = 821.41/x
  3. Step 3: Cross multiply
    2,381.81x = 3,571.83 × 821.41
  4. Step 4: Simplify right side
    2,381.81x = 2,933,927.95
  5. Step 5: Solve for x
    x = 2,933,927.95/2,381.81
  6. Step 6: Final answer
    x = 1,231.81

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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.