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Finding the Fourth Proportional to 2,736.66, 4,104.63 and 762.42

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Solution

The fourth proportional to 2,736.66, 4,104.63 and 762.42 is: 1,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.66 : 4,104.63 = 762.42 : x
  2. Step 2: Convert to fraction form
    2,736.66/4,104.63 = 762.42/x
  3. Step 3: Cross multiply
    2,736.66x = 4,104.63 × 762.42
  4. Step 4: Simplify right side
    2,736.66x = 3,129,452.00
  5. Step 5: Solve for x
    x = 3,129,452.00/2,736.66
  6. Step 6: Final answer
    x = 1,143.53

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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.