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Finding the Fourth Proportional to 2,055.80, 3,083.69 and 516.80

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Solution

The fourth proportional to 2,055.80, 3,083.69 and 516.80 is: 775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.80 : 3,083.69 = 516.80 : x
  2. Step 2: Convert to fraction form
    2,055.80/3,083.69 = 516.80/x
  3. Step 3: Cross multiply
    2,055.80x = 3,083.69 × 516.80
  4. Step 4: Simplify right side
    2,055.80x = 1,593,659.99
  5. Step 5: Solve for x
    x = 1,593,659.99/2,055.80
  6. Step 6: Final answer
    x = 775.20

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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.