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Finding the Fourth Proportional to 2,736.30, 4,105.13 and 788.66

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Solution

The fourth proportional to 2,736.30, 4,105.13 and 788.66 is: 1,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.30 : 4,105.13 = 788.66 : x
  2. Step 2: Convert to fraction form
    2,736.30/4,105.13 = 788.66/x
  3. Step 3: Cross multiply
    2,736.30x = 4,105.13 × 788.66
  4. Step 4: Simplify right side
    2,736.30x = 3,237,527.36
  5. Step 5: Solve for x
    x = 3,237,527.36/2,736.30
  6. Step 6: Final answer
    x = 1,183.18

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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.