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Finding the Fourth Proportional to 2,486.85, 3,730.25 and 820.95

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Solution

The fourth proportional to 2,486.85, 3,730.25 and 820.95 is: 1,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.85 : 3,730.25 = 820.95 : x
  2. Step 2: Convert to fraction form
    2,486.85/3,730.25 = 820.95/x
  3. Step 3: Cross multiply
    2,486.85x = 3,730.25 × 820.95
  4. Step 4: Simplify right side
    2,486.85x = 3,062,336.80
  5. Step 5: Solve for x
    x = 3,062,336.80/2,486.85
  6. Step 6: Final answer
    x = 1,231.41

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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.