Home / 3,610.26-5,414.92-977.96

Finding the Fourth Proportional to 3,610.26, 5,414.92 and 977.96

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Solution

The fourth proportional to 3,610.26, 5,414.92 and 977.96 is: 1,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.26 : 5,414.92 = 977.96 : x
  2. Step 2: Convert to fraction form
    3,610.26/5,414.92 = 977.96/x
  3. Step 3: Cross multiply
    3,610.26x = 5,414.92 × 977.96
  4. Step 4: Simplify right side
    3,610.26x = 5,295,586.26
  5. Step 5: Solve for x
    x = 5,295,586.26/3,610.26
  6. Step 6: Final answer
    x = 1,466.82

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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.