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Finding the Fourth Proportional to 3,229.89, 4,845.12 and 1,281.63

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Solution

The fourth proportional to 3,229.89, 4,845.12 and 1,281.63 is: 1,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.89 : 4,845.12 = 1,281.63 : x
  2. Step 2: Convert to fraction form
    3,229.89/4,845.12 = 1,281.63/x
  3. Step 3: Cross multiply
    3,229.89x = 4,845.12 × 1,281.63
  4. Step 4: Simplify right side
    3,229.89x = 6,209,651.15
  5. Step 5: Solve for x
    x = 6,209,651.15/3,229.89
  6. Step 6: Final answer
    x = 1,922.56

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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.