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Finding the Fourth Proportional to 2,642.11, 3,962.92 and 793.64

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Solution

The fourth proportional to 2,642.11, 3,962.92 and 793.64 is: 1,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.11 : 3,962.92 = 793.64 : x
  2. Step 2: Convert to fraction form
    2,642.11/3,962.92 = 793.64/x
  3. Step 3: Cross multiply
    2,642.11x = 3,962.92 × 793.64
  4. Step 4: Simplify right side
    2,642.11x = 3,145,112.01
  5. Step 5: Solve for x
    x = 3,145,112.01/2,642.11
  6. Step 6: Final answer
    x = 1,190.38

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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.