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Finding the Fourth Proportional to 2,761.24, 4,142.02 and 813.28

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Solution

The fourth proportional to 2,761.24, 4,142.02 and 813.28 is: 1,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.24 : 4,142.02 = 813.28 : x
  2. Step 2: Convert to fraction form
    2,761.24/4,142.02 = 813.28/x
  3. Step 3: Cross multiply
    2,761.24x = 4,142.02 × 813.28
  4. Step 4: Simplify right side
    2,761.24x = 3,368,622.03
  5. Step 5: Solve for x
    x = 3,368,622.03/2,761.24
  6. Step 6: Final answer
    x = 1,219.97

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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.