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Finding the Fourth Proportional to 2,736.20, 4,104.84 and 788.42

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Solution

The fourth proportional to 2,736.20, 4,104.84 and 788.42 is: 1,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.20 : 4,104.84 = 788.42 : x
  2. Step 2: Convert to fraction form
    2,736.20/4,104.84 = 788.42/x
  3. Step 3: Cross multiply
    2,736.20x = 4,104.84 × 788.42
  4. Step 4: Simplify right side
    2,736.20x = 3,236,337.95
  5. Step 5: Solve for x
    x = 3,236,337.95/2,736.20
  6. Step 6: Final answer
    x = 1,182.79

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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.