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Finding the Fourth Proportional to 2,052.54, 3,078.73 and 684.54

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Solution

The fourth proportional to 2,052.54, 3,078.73 and 684.54 is: 1,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.54 : 3,078.73 = 684.54 : x
  2. Step 2: Convert to fraction form
    2,052.54/3,078.73 = 684.54/x
  3. Step 3: Cross multiply
    2,052.54x = 3,078.73 × 684.54
  4. Step 4: Simplify right side
    2,052.54x = 2,107,513.83
  5. Step 5: Solve for x
    x = 2,107,513.83/2,052.54
  6. Step 6: Final answer
    x = 1,026.78

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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.