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Finding the Fourth Proportional to 3,028.29, 4,542.31 and 948.27

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Solution

The fourth proportional to 3,028.29, 4,542.31 and 948.27 is: 1,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.29 : 4,542.31 = 948.27 : x
  2. Step 2: Convert to fraction form
    3,028.29/4,542.31 = 948.27/x
  3. Step 3: Cross multiply
    3,028.29x = 4,542.31 × 948.27
  4. Step 4: Simplify right side
    3,028.29x = 4,307,354.52
  5. Step 5: Solve for x
    x = 4,307,354.52/3,028.29
  6. Step 6: Final answer
    x = 1,422.37

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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.