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Finding the Fourth Proportional to 2,091.66, 3,138.24 and 793.13

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Solution

The fourth proportional to 2,091.66, 3,138.24 and 793.13 is: 1,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.66 : 3,138.24 = 793.13 : x
  2. Step 2: Convert to fraction form
    2,091.66/3,138.24 = 793.13/x
  3. Step 3: Cross multiply
    2,091.66x = 3,138.24 × 793.13
  4. Step 4: Simplify right side
    2,091.66x = 2,489,019.57
  5. Step 5: Solve for x
    x = 2,489,019.57/2,091.66
  6. Step 6: Final answer
    x = 1,189.98

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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.