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Finding the Fourth Proportional to 3,325.24, 4,978.54 and 1,761.71

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Solution

The fourth proportional to 3,325.24, 4,978.54 and 1,761.71 is: 2,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325.24 : 4,978.54 = 1,761.71 : x
  2. Step 2: Convert to fraction form
    3,325.24/4,978.54 = 1,761.71/x
  3. Step 3: Cross multiply
    3,325.24x = 4,978.54 × 1,761.71
  4. Step 4: Simplify right side
    3,325.24x = 8,770,743.70
  5. Step 5: Solve for x
    x = 8,770,743.70/3,325.24
  6. Step 6: Final answer
    x = 2,637.63

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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.