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Finding the Fourth Proportional to 2,194.38, 3,290.65 and 807.77

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Solution

The fourth proportional to 2,194.38, 3,290.65 and 807.77 is: 1,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.38 : 3,290.65 = 807.77 : x
  2. Step 2: Convert to fraction form
    2,194.38/3,290.65 = 807.77/x
  3. Step 3: Cross multiply
    2,194.38x = 3,290.65 × 807.77
  4. Step 4: Simplify right side
    2,194.38x = 2,658,067.86
  5. Step 5: Solve for x
    x = 2,658,067.86/2,194.38
  6. Step 6: Final answer
    x = 1,211.31

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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.