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Finding the Fourth Proportional to 5,761.63, 7,951.07 and 3,243.78

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Solution

The fourth proportional to 5,761.63, 7,951.07 and 3,243.78 is: 4,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.63 : 7,951.07 = 3,243.78 : x
  2. Step 2: Convert to fraction form
    5,761.63/7,951.07 = 3,243.78/x
  3. Step 3: Cross multiply
    5,761.63x = 7,951.07 × 3,243.78
  4. Step 4: Simplify right side
    5,761.63x = 25,791,521.84
  5. Step 5: Solve for x
    x = 25,791,521.84/5,761.63
  6. Step 6: Final answer
    x = 4,476.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.