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Finding the Fourth Proportional to 2,076.47, 3,114.63 and 516.47

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Solution

The fourth proportional to 2,076.47, 3,114.63 and 516.47 is: 774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.47 : 3,114.63 = 516.47 : x
  2. Step 2: Convert to fraction form
    2,076.47/3,114.63 = 516.47/x
  3. Step 3: Cross multiply
    2,076.47x = 3,114.63 × 516.47
  4. Step 4: Simplify right side
    2,076.47x = 1,608,597.38
  5. Step 5: Solve for x
    x = 1,608,597.38/2,076.47
  6. Step 6: Final answer
    x = 774.68

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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.