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Finding the Fourth Proportional to 3,696.84, 5,540.40 and 2,768.58

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Solution

The fourth proportional to 3,696.84, 5,540.40 and 2,768.58 is: 4,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.84 : 5,540.40 = 2,768.58 : x
  2. Step 2: Convert to fraction form
    3,696.84/5,540.40 = 2,768.58/x
  3. Step 3: Cross multiply
    3,696.84x = 5,540.40 × 2,768.58
  4. Step 4: Simplify right side
    3,696.84x = 15,339,040.63
  5. Step 5: Solve for x
    x = 15,339,040.63/3,696.84
  6. Step 6: Final answer
    x = 4,149.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.