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Finding the Fourth Proportional to 1,427.94, 2,142.26 and 843.42

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Solution

The fourth proportional to 1,427.94, 2,142.26 and 843.42 is: 1,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.94 : 2,142.26 = 843.42 : x
  2. Step 2: Convert to fraction form
    1,427.94/2,142.26 = 843.42/x
  3. Step 3: Cross multiply
    1,427.94x = 2,142.26 × 843.42
  4. Step 4: Simplify right side
    1,427.94x = 1,806,824.93
  5. Step 5: Solve for x
    x = 1,806,824.93/1,427.94
  6. Step 6: Final answer
    x = 1,265.34

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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.