Home / 3,285.43-4,928.10-820.24

Finding the Fourth Proportional to 3,285.43, 4,928.10 and 820.24

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Solution

The fourth proportional to 3,285.43, 4,928.10 and 820.24 is: 1,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.43 : 4,928.10 = 820.24 : x
  2. Step 2: Convert to fraction form
    3,285.43/4,928.10 = 820.24/x
  3. Step 3: Cross multiply
    3,285.43x = 4,928.10 × 820.24
  4. Step 4: Simplify right side
    3,285.43x = 4,042,224.74
  5. Step 5: Solve for x
    x = 4,042,224.74/3,285.43
  6. Step 6: Final answer
    x = 1,230.35

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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.