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Finding the Fourth Proportional to 2,074.96, 3,112.39 and 514.97

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Solution

The fourth proportional to 2,074.96, 3,112.39 and 514.97 is: 772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.96 : 3,112.39 = 514.97 : x
  2. Step 2: Convert to fraction form
    2,074.96/3,112.39 = 514.97/x
  3. Step 3: Cross multiply
    2,074.96x = 3,112.39 × 514.97
  4. Step 4: Simplify right side
    2,074.96x = 1,602,770.63
  5. Step 5: Solve for x
    x = 1,602,770.63/2,074.96
  6. Step 6: Final answer
    x = 772.44

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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.