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Finding the Fourth Proportional to 2,273.88, 3,408.39 and 812.07

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Solution

The fourth proportional to 2,273.88, 3,408.39 and 812.07 is: 1,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.88 : 3,408.39 = 812.07 : x
  2. Step 2: Convert to fraction form
    2,273.88/3,408.39 = 812.07/x
  3. Step 3: Cross multiply
    2,273.88x = 3,408.39 × 812.07
  4. Step 4: Simplify right side
    2,273.88x = 2,767,851.27
  5. Step 5: Solve for x
    x = 2,767,851.27/2,273.88
  6. Step 6: Final answer
    x = 1,217.24

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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.