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Finding the Fourth Proportional to 2,852, 4,279.92 and 1,028

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Solution

The fourth proportional to 2,852, 4,279.92 and 1,028 is: 1,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852 : 4,279.92 = 1,028 : x
  2. Step 2: Convert to fraction form
    2,852/4,279.92 = 1,028/x
  3. Step 3: Cross multiply
    2,852x = 4,279.92 × 1,028
  4. Step 4: Simplify right side
    2,852x = 4,399,757.76
  5. Step 5: Solve for x
    x = 4,399,757.76/2,852
  6. Step 6: Final answer
    x = 1,542.69

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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.