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Finding the Fourth Proportional to 2,193.58, 3,286.91 and 805.00

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Solution

The fourth proportional to 2,193.58, 3,286.91 and 805.00 is: 1,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.58 : 3,286.91 = 805.00 : x
  2. Step 2: Convert to fraction form
    2,193.58/3,286.91 = 805.00/x
  3. Step 3: Cross multiply
    2,193.58x = 3,286.91 × 805.00
  4. Step 4: Simplify right side
    2,193.58x = 2,645,973.29
  5. Step 5: Solve for x
    x = 2,645,973.29/2,193.58
  6. Step 6: Final answer
    x = 1,206.24

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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.