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Finding the Fourth Proportional to 2,076.40, 3,114.51 and 516.41

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Solution

The fourth proportional to 2,076.40, 3,114.51 and 516.41 is: 774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.40 : 3,114.51 = 516.41 : x
  2. Step 2: Convert to fraction form
    2,076.40/3,114.51 = 516.41/x
  3. Step 3: Cross multiply
    2,076.40x = 3,114.51 × 516.41
  4. Step 4: Simplify right side
    2,076.40x = 1,608,364.11
  5. Step 5: Solve for x
    x = 1,608,364.11/2,076.40
  6. Step 6: Final answer
    x = 774.59

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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.