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Finding the Fourth Proportional to 3,122.70, 4,684.01 and 814.20

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Solution

The fourth proportional to 3,122.70, 4,684.01 and 814.20 is: 1,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.70 : 4,684.01 = 814.20 : x
  2. Step 2: Convert to fraction form
    3,122.70/4,684.01 = 814.20/x
  3. Step 3: Cross multiply
    3,122.70x = 4,684.01 × 814.20
  4. Step 4: Simplify right side
    3,122.70x = 3,813,716.87
  5. Step 5: Solve for x
    x = 3,813,716.87/3,122.70
  6. Step 6: Final answer
    x = 1,221.29

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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.