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Finding the Fourth Proportional to 5,072.82, 7,000.05 and 2,919.43

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Solution

The fourth proportional to 5,072.82, 7,000.05 and 2,919.43 is: 4,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.82 : 7,000.05 = 2,919.43 : x
  2. Step 2: Convert to fraction form
    5,072.82/7,000.05 = 2,919.43/x
  3. Step 3: Cross multiply
    5,072.82x = 7,000.05 × 2,919.43
  4. Step 4: Simplify right side
    5,072.82x = 20,436,155.97
  5. Step 5: Solve for x
    x = 20,436,155.97/5,072.82
  6. Step 6: Final answer
    x = 4,028.56

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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.