Home / 2,282.62-3,423.33-983.80

Finding the Fourth Proportional to 2,282.62, 3,423.33 and 983.80

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Solution

The fourth proportional to 2,282.62, 3,423.33 and 983.80 is: 1,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.62 : 3,423.33 = 983.80 : x
  2. Step 2: Convert to fraction form
    2,282.62/3,423.33 = 983.80/x
  3. Step 3: Cross multiply
    2,282.62x = 3,423.33 × 983.80
  4. Step 4: Simplify right side
    2,282.62x = 3,367,872.05
  5. Step 5: Solve for x
    x = 3,367,872.05/2,282.62
  6. Step 6: Final answer
    x = 1,475.44

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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.