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Finding the Fourth Proportional to 2,454.92, 3,682.94 and 811.47

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Solution

The fourth proportional to 2,454.92, 3,682.94 and 811.47 is: 1,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.92 : 3,682.94 = 811.47 : x
  2. Step 2: Convert to fraction form
    2,454.92/3,682.94 = 811.47/x
  3. Step 3: Cross multiply
    2,454.92x = 3,682.94 × 811.47
  4. Step 4: Simplify right side
    2,454.92x = 2,988,595.32
  5. Step 5: Solve for x
    x = 2,988,595.32/2,454.92
  6. Step 6: Final answer
    x = 1,217.39

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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.