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Finding the Fourth Proportional to 2,643.58, 3,965.94 and 794.54

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Solution

The fourth proportional to 2,643.58, 3,965.94 and 794.54 is: 1,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.58 : 3,965.94 = 794.54 : x
  2. Step 2: Convert to fraction form
    2,643.58/3,965.94 = 794.54/x
  3. Step 3: Cross multiply
    2,643.58x = 3,965.94 × 794.54
  4. Step 4: Simplify right side
    2,643.58x = 3,151,107.88
  5. Step 5: Solve for x
    x = 3,151,107.88/2,643.58
  6. Step 6: Final answer
    x = 1,191.98

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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.