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Finding the Fourth Proportional to 3,221.83, 4,833.17 and 913.39

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Solution

The fourth proportional to 3,221.83, 4,833.17 and 913.39 is: 1,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.83 : 4,833.17 = 913.39 : x
  2. Step 2: Convert to fraction form
    3,221.83/4,833.17 = 913.39/x
  3. Step 3: Cross multiply
    3,221.83x = 4,833.17 × 913.39
  4. Step 4: Simplify right side
    3,221.83x = 4,414,564.58
  5. Step 5: Solve for x
    x = 4,414,564.58/3,221.83
  6. Step 6: Final answer
    x = 1,370.20

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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.