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Finding the Fourth Proportional to 3,489.62, 5,235.10 and 1,642.82

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Solution

The fourth proportional to 3,489.62, 5,235.10 and 1,642.82 is: 2,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.62 : 5,235.10 = 1,642.82 : x
  2. Step 2: Convert to fraction form
    3,489.62/5,235.10 = 1,642.82/x
  3. Step 3: Cross multiply
    3,489.62x = 5,235.10 × 1,642.82
  4. Step 4: Simplify right side
    3,489.62x = 8,600,296.70
  5. Step 5: Solve for x
    x = 8,600,296.70/3,489.62
  6. Step 6: Final answer
    x = 2,464.54

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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.