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Finding the Fourth Proportional to 3,221.92, 4,834.08 and 1,834.40

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Solution

The fourth proportional to 3,221.92, 4,834.08 and 1,834.40 is: 2,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.92 : 4,834.08 = 1,834.40 : x
  2. Step 2: Convert to fraction form
    3,221.92/4,834.08 = 1,834.40/x
  3. Step 3: Cross multiply
    3,221.92x = 4,834.08 × 1,834.40
  4. Step 4: Simplify right side
    3,221.92x = 8,867,636.35
  5. Step 5: Solve for x
    x = 8,867,636.35/3,221.92
  6. Step 6: Final answer
    x = 2,752.28

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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.