Home / 1,427.72-2,142.26-778.44

Finding the Fourth Proportional to 1,427.72, 2,142.26 and 778.44

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Solution

The fourth proportional to 1,427.72, 2,142.26 and 778.44 is: 1,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.72 : 2,142.26 = 778.44 : x
  2. Step 2: Convert to fraction form
    1,427.72/2,142.26 = 778.44/x
  3. Step 3: Cross multiply
    1,427.72x = 2,142.26 × 778.44
  4. Step 4: Simplify right side
    1,427.72x = 1,667,620.87
  5. Step 5: Solve for x
    x = 1,667,620.87/1,427.72
  6. Step 6: Final answer
    x = 1,168.03

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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.