Home / 3,285.63-4,928.41-820.43

Finding the Fourth Proportional to 3,285.63, 4,928.41 and 820.43

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Solution

The fourth proportional to 3,285.63, 4,928.41 and 820.43 is: 1,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.63 : 4,928.41 = 820.43 : x
  2. Step 2: Convert to fraction form
    3,285.63/4,928.41 = 820.43/x
  3. Step 3: Cross multiply
    3,285.63x = 4,928.41 × 820.43
  4. Step 4: Simplify right side
    3,285.63x = 4,043,414.90
  5. Step 5: Solve for x
    x = 4,043,414.90/3,285.63
  6. Step 6: Final answer
    x = 1,230.64

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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.