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Finding the Fourth Proportional to 2,194.08, 3,290.04 and 806.43

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Solution

The fourth proportional to 2,194.08, 3,290.04 and 806.43 is: 1,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.08 : 3,290.04 = 806.43 : x
  2. Step 2: Convert to fraction form
    2,194.08/3,290.04 = 806.43/x
  3. Step 3: Cross multiply
    2,194.08x = 3,290.04 × 806.43
  4. Step 4: Simplify right side
    2,194.08x = 2,653,186.96
  5. Step 5: Solve for x
    x = 2,653,186.96/2,194.08
  6. Step 6: Final answer
    x = 1,209.25

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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.