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Finding the Fourth Proportional to 2,761.93, 4,143.69 and 814.13

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Solution

The fourth proportional to 2,761.93, 4,143.69 and 814.13 is: 1,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.93 : 4,143.69 = 814.13 : x
  2. Step 2: Convert to fraction form
    2,761.93/4,143.69 = 814.13/x
  3. Step 3: Cross multiply
    2,761.93x = 4,143.69 × 814.13
  4. Step 4: Simplify right side
    2,761.93x = 3,373,502.34
  5. Step 5: Solve for x
    x = 3,373,502.34/2,761.93
  6. Step 6: Final answer
    x = 1,221.43

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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.