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Finding the Fourth Proportional to 2,857.05, 3,938.03 and 1,912.52

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Solution

The fourth proportional to 2,857.05, 3,938.03 and 1,912.52 is: 2,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.05 : 3,938.03 = 1,912.52 : x
  2. Step 2: Convert to fraction form
    2,857.05/3,938.03 = 1,912.52/x
  3. Step 3: Cross multiply
    2,857.05x = 3,938.03 × 1,912.52
  4. Step 4: Simplify right side
    2,857.05x = 7,531,531.88
  5. Step 5: Solve for x
    x = 7,531,531.88/2,857.05
  6. Step 6: Final answer
    x = 2,636.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.