Home / 3,027.82-4,172.43-1,978.06

Finding the Fourth Proportional to 3,027.82, 4,172.43 and 1,978.06

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Solution

The fourth proportional to 3,027.82, 4,172.43 and 1,978.06 is: 2,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.82 : 4,172.43 = 1,978.06 : x
  2. Step 2: Convert to fraction form
    3,027.82/4,172.43 = 1,978.06/x
  3. Step 3: Cross multiply
    3,027.82x = 4,172.43 × 1,978.06
  4. Step 4: Simplify right side
    3,027.82x = 8,253,316.89
  5. Step 5: Solve for x
    x = 8,253,316.89/3,027.82
  6. Step 6: Final answer
    x = 2,725.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.