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Finding the Fourth Proportional to 3,270.62, 4,512.07 and 1,943.61

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Solution

The fourth proportional to 3,270.62, 4,512.07 and 1,943.61 is: 2,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.62 : 4,512.07 = 1,943.61 : x
  2. Step 2: Convert to fraction form
    3,270.62/4,512.07 = 1,943.61/x
  3. Step 3: Cross multiply
    3,270.62x = 4,512.07 × 1,943.61
  4. Step 4: Simplify right side
    3,270.62x = 8,769,672.09
  5. Step 5: Solve for x
    x = 8,769,672.09/3,270.62
  6. Step 6: Final answer
    x = 2,681.35

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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.