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Finding the Fourth Proportional to 3,028.36, 4,542.94 and 948.54

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Solution

The fourth proportional to 3,028.36, 4,542.94 and 948.54 is: 1,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.36 : 4,542.94 = 948.54 : x
  2. Step 2: Convert to fraction form
    3,028.36/4,542.94 = 948.54/x
  3. Step 3: Cross multiply
    3,028.36x = 4,542.94 × 948.54
  4. Step 4: Simplify right side
    3,028.36x = 4,309,160.31
  5. Step 5: Solve for x
    x = 4,309,160.31/3,028.36
  6. Step 6: Final answer
    x = 1,422.94

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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.