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Finding the Fourth Proportional to 3,078, 4,243.59 and 2,578.50

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Solution

The fourth proportional to 3,078, 4,243.59 and 2,578.50 is: 3,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 4,243.59 = 2,578.50 : x
  2. Step 2: Convert to fraction form
    3,078/4,243.59 = 2,578.50/x
  3. Step 3: Cross multiply
    3,078x = 4,243.59 × 2,578.50
  4. Step 4: Simplify right side
    3,078x = 10,942,096.82
  5. Step 5: Solve for x
    x = 10,942,096.82/3,078
  6. Step 6: Final answer
    x = 3,554.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.