Home / 1,427.26-2,142.10-562.18

Finding the Fourth Proportional to 1,427.26, 2,142.10 and 562.18

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Solution

The fourth proportional to 1,427.26, 2,142.10 and 562.18 is: 843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.26 : 2,142.10 = 562.18 : x
  2. Step 2: Convert to fraction form
    1,427.26/2,142.10 = 562.18/x
  3. Step 3: Cross multiply
    1,427.26x = 2,142.10 × 562.18
  4. Step 4: Simplify right side
    1,427.26x = 1,204,245.78
  5. Step 5: Solve for x
    x = 1,204,245.78/1,427.26
  6. Step 6: Final answer
    x = 843.75

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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.