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Finding the Fourth Proportional to 2,049.13, 3,072.96 and 816.21

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Solution

The fourth proportional to 2,049.13, 3,072.96 and 816.21 is: 1,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.13 : 3,072.96 = 816.21 : x
  2. Step 2: Convert to fraction form
    2,049.13/3,072.96 = 816.21/x
  3. Step 3: Cross multiply
    2,049.13x = 3,072.96 × 816.21
  4. Step 4: Simplify right side
    2,049.13x = 2,508,165.32
  5. Step 5: Solve for x
    x = 2,508,165.32/2,049.13
  6. Step 6: Final answer
    x = 1,224.02

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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.