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Finding the Fourth Proportional to 2,055.78, 3,083.64 and 516.78

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Solution

The fourth proportional to 2,055.78, 3,083.64 and 516.78 is: 775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.78 : 3,083.64 = 516.78 : x
  2. Step 2: Convert to fraction form
    2,055.78/3,083.64 = 516.78/x
  3. Step 3: Cross multiply
    2,055.78x = 3,083.64 × 516.78
  4. Step 4: Simplify right side
    2,055.78x = 1,593,563.48
  5. Step 5: Solve for x
    x = 1,593,563.48/2,055.78
  6. Step 6: Final answer
    x = 775.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.