Home / 3,131.52-4,697.60-823.20

Finding the Fourth Proportional to 3,131.52, 4,697.60 and 823.20

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Solution

The fourth proportional to 3,131.52, 4,697.60 and 823.20 is: 1,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.52 : 4,697.60 = 823.20 : x
  2. Step 2: Convert to fraction form
    3,131.52/4,697.60 = 823.20/x
  3. Step 3: Cross multiply
    3,131.52x = 4,697.60 × 823.20
  4. Step 4: Simplify right side
    3,131.52x = 3,867,064.32
  5. Step 5: Solve for x
    x = 3,867,064.32/3,131.52
  6. Step 6: Final answer
    x = 1,234.88

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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.