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Finding the Fourth Proportional to 2,414.52, 3,621.77 and 854.61

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Solution

The fourth proportional to 2,414.52, 3,621.77 and 854.61 is: 1,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.52 : 3,621.77 = 854.61 : x
  2. Step 2: Convert to fraction form
    2,414.52/3,621.77 = 854.61/x
  3. Step 3: Cross multiply
    2,414.52x = 3,621.77 × 854.61
  4. Step 4: Simplify right side
    2,414.52x = 3,095,198.80
  5. Step 5: Solve for x
    x = 3,095,198.80/2,414.52
  6. Step 6: Final answer
    x = 1,281.91

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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.