Home / 2,280.97-3,423.06-820.17

Finding the Fourth Proportional to 2,280.97, 3,423.06 and 820.17

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Solution

The fourth proportional to 2,280.97, 3,423.06 and 820.17 is: 1,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.97 : 3,423.06 = 820.17 : x
  2. Step 2: Convert to fraction form
    2,280.97/3,423.06 = 820.17/x
  3. Step 3: Cross multiply
    2,280.97x = 3,423.06 × 820.17
  4. Step 4: Simplify right side
    2,280.97x = 2,807,491.12
  5. Step 5: Solve for x
    x = 2,807,491.12/2,280.97
  6. Step 6: Final answer
    x = 1,230.83

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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.