Home / 3,131.81-4,697.75-823.31

Finding the Fourth Proportional to 3,131.81, 4,697.75 and 823.31

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Solution

The fourth proportional to 3,131.81, 4,697.75 and 823.31 is: 1,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.81 : 4,697.75 = 823.31 : x
  2. Step 2: Convert to fraction form
    3,131.81/4,697.75 = 823.31/x
  3. Step 3: Cross multiply
    3,131.81x = 4,697.75 × 823.31
  4. Step 4: Simplify right side
    3,131.81x = 3,867,704.55
  5. Step 5: Solve for x
    x = 3,867,704.55/3,131.81
  6. Step 6: Final answer
    x = 1,234.97

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1.5x scale

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.