Home / 3,131.75-4,697.63-823.25

Finding the Fourth Proportional to 3,131.75, 4,697.63 and 823.25

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Solution

The fourth proportional to 3,131.75, 4,697.63 and 823.25 is: 1,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.75 : 4,697.63 = 823.25 : x
  2. Step 2: Convert to fraction form
    3,131.75/4,697.63 = 823.25/x
  3. Step 3: Cross multiply
    3,131.75x = 4,697.63 × 823.25
  4. Step 4: Simplify right side
    3,131.75x = 3,867,323.90
  5. Step 5: Solve for x
    x = 3,867,323.90/3,131.75
  6. Step 6: Final answer
    x = 1,234.88

Related Problems

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Double scale
Find fourth proportional to 3,132.75, 4,699.13 and 824.25
Similar ratio
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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.