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Finding the Fourth Proportional to 1,821.92, 2,734.02 and 834.58

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Solution

The fourth proportional to 1,821.92, 2,734.02 and 834.58 is: 1,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.92 : 2,734.02 = 834.58 : x
  2. Step 2: Convert to fraction form
    1,821.92/2,734.02 = 834.58/x
  3. Step 3: Cross multiply
    1,821.92x = 2,734.02 × 834.58
  4. Step 4: Simplify right side
    1,821.92x = 2,281,758.41
  5. Step 5: Solve for x
    x = 2,281,758.41/1,821.92
  6. Step 6: Final answer
    x = 1,252.39

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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.