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Finding the Fourth Proportional to 3,229.77, 4,843.62 and 1,038

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Solution

The fourth proportional to 3,229.77, 4,843.62 and 1,038 is: 1,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.77 : 4,843.62 = 1,038 : x
  2. Step 2: Convert to fraction form
    3,229.77/4,843.62 = 1,038/x
  3. Step 3: Cross multiply
    3,229.77x = 4,843.62 × 1,038
  4. Step 4: Simplify right side
    3,229.77x = 5,027,677.56
  5. Step 5: Solve for x
    x = 5,027,677.56/3,229.77
  6. Step 6: Final answer
    x = 1,556.67

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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.