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Finding the Fourth Proportional to 2,091.83, 3,135.88 and 794.21

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Solution

The fourth proportional to 2,091.83, 3,135.88 and 794.21 is: 1,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.83 : 3,135.88 = 794.21 : x
  2. Step 2: Convert to fraction form
    2,091.83/3,135.88 = 794.21/x
  3. Step 3: Cross multiply
    2,091.83x = 3,135.88 × 794.21
  4. Step 4: Simplify right side
    2,091.83x = 2,490,547.25
  5. Step 5: Solve for x
    x = 2,490,547.25/2,091.83
  6. Step 6: Final answer
    x = 1,190.61

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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.