Home / 3,131.64-4,697.70-823.14

Finding the Fourth Proportional to 3,131.64, 4,697.70 and 823.14

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Solution

The fourth proportional to 3,131.64, 4,697.70 and 823.14 is: 1,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.64 : 4,697.70 = 823.14 : x
  2. Step 2: Convert to fraction form
    3,131.64/4,697.70 = 823.14/x
  3. Step 3: Cross multiply
    3,131.64x = 4,697.70 × 823.14
  4. Step 4: Simplify right side
    3,131.64x = 3,866,864.78
  5. Step 5: Solve for x
    x = 3,866,864.78/3,131.64
  6. Step 6: Final answer
    x = 1,234.77

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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.