Home / 3,420.96-5,131.44-823.91

Finding the Fourth Proportional to 3,420.96, 5,131.44 and 823.91

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Solution

The fourth proportional to 3,420.96, 5,131.44 and 823.91 is: 1,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.96 : 5,131.44 = 823.91 : x
  2. Step 2: Convert to fraction form
    3,420.96/5,131.44 = 823.91/x
  3. Step 3: Cross multiply
    3,420.96x = 5,131.44 × 823.91
  4. Step 4: Simplify right side
    3,420.96x = 4,227,819.07
  5. Step 5: Solve for x
    x = 4,227,819.07/3,420.96
  6. Step 6: Final answer
    x = 1,235.86

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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.