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Finding the Fourth Proportional to 2,381.56, 3,571.17 and 994.48

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Solution

The fourth proportional to 2,381.56, 3,571.17 and 994.48 is: 1,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.56 : 3,571.17 = 994.48 : x
  2. Step 2: Convert to fraction form
    2,381.56/3,571.17 = 994.48/x
  3. Step 3: Cross multiply
    2,381.56x = 3,571.17 × 994.48
  4. Step 4: Simplify right side
    2,381.56x = 3,551,457.14
  5. Step 5: Solve for x
    x = 3,551,457.14/2,381.56
  6. Step 6: Final answer
    x = 1,491.23

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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.