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Finding the Fourth Proportional to 2,986.92, 4,481.40 and 1,427.40

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Solution

The fourth proportional to 2,986.92, 4,481.40 and 1,427.40 is: 2,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.92 : 4,481.40 = 1,427.40 : x
  2. Step 2: Convert to fraction form
    2,986.92/4,481.40 = 1,427.40/x
  3. Step 3: Cross multiply
    2,986.92x = 4,481.40 × 1,427.40
  4. Step 4: Simplify right side
    2,986.92x = 6,396,750.36
  5. Step 5: Solve for x
    x = 6,396,750.36/2,986.92
  6. Step 6: Final answer
    x = 2,141.59

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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.