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Finding the Fourth Proportional to 2,194.32, 3,291.84 and 809.58

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Solution

The fourth proportional to 2,194.32, 3,291.84 and 809.58 is: 1,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.32 : 3,291.84 = 809.58 : x
  2. Step 2: Convert to fraction form
    2,194.32/3,291.84 = 809.58/x
  3. Step 3: Cross multiply
    2,194.32x = 3,291.84 × 809.58
  4. Step 4: Simplify right side
    2,194.32x = 2,665,007.83
  5. Step 5: Solve for x
    x = 2,665,007.83/2,194.32
  6. Step 6: Final answer
    x = 1,214.50

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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.