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Finding the Fourth Proportional to 2,511.29, 3,766.62 and 662.54

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Solution

The fourth proportional to 2,511.29, 3,766.62 and 662.54 is: 993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.29 : 3,766.62 = 662.54 : x
  2. Step 2: Convert to fraction form
    2,511.29/3,766.62 = 662.54/x
  3. Step 3: Cross multiply
    2,511.29x = 3,766.62 × 662.54
  4. Step 4: Simplify right side
    2,511.29x = 2,495,517.58
  5. Step 5: Solve for x
    x = 2,495,517.58/2,511.29
  6. Step 6: Final answer
    x = 993.72

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1.5x scale

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.