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Finding the Fourth Proportional to 2,022.80, 3,034.20 and 562.12

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Solution

The fourth proportional to 2,022.80, 3,034.20 and 562.12 is: 843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.80 : 3,034.20 = 562.12 : x
  2. Step 2: Convert to fraction form
    2,022.80/3,034.20 = 562.12/x
  3. Step 3: Cross multiply
    2,022.80x = 3,034.20 × 562.12
  4. Step 4: Simplify right side
    2,022.80x = 1,705,584.50
  5. Step 5: Solve for x
    x = 1,705,584.50/2,022.80
  6. Step 6: Final answer
    x = 843.18

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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.