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Finding the Fourth Proportional to 2,255.36, 3,381.82 and 793.41

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Solution

The fourth proportional to 2,255.36, 3,381.82 and 793.41 is: 1,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.36 : 3,381.82 = 793.41 : x
  2. Step 2: Convert to fraction form
    2,255.36/3,381.82 = 793.41/x
  3. Step 3: Cross multiply
    2,255.36x = 3,381.82 × 793.41
  4. Step 4: Simplify right side
    2,255.36x = 2,683,155.14
  5. Step 5: Solve for x
    x = 2,683,155.14/2,255.36
  6. Step 6: Final answer
    x = 1,189.68

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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.