Home / 2,114.24-3,170.43-814.79

Finding the Fourth Proportional to 2,114.24, 3,170.43 and 814.79

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Solution

The fourth proportional to 2,114.24, 3,170.43 and 814.79 is: 1,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.24 : 3,170.43 = 814.79 : x
  2. Step 2: Convert to fraction form
    2,114.24/3,170.43 = 814.79/x
  3. Step 3: Cross multiply
    2,114.24x = 3,170.43 × 814.79
  4. Step 4: Simplify right side
    2,114.24x = 2,583,242.59
  5. Step 5: Solve for x
    x = 2,583,242.59/2,114.24
  6. Step 6: Final answer
    x = 1,221.83

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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.