Home / 3,131.60-4,697.40-823.10

Finding the Fourth Proportional to 3,131.60, 4,697.40 and 823.10

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Solution

The fourth proportional to 3,131.60, 4,697.40 and 823.10 is: 1,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.60 : 4,697.40 = 823.10 : x
  2. Step 2: Convert to fraction form
    3,131.60/4,697.40 = 823.10/x
  3. Step 3: Cross multiply
    3,131.60x = 4,697.40 × 823.10
  4. Step 4: Simplify right side
    3,131.60x = 3,866,429.94
  5. Step 5: Solve for x
    x = 3,866,429.94/3,131.60
  6. Step 6: Final answer
    x = 1,234.65

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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.