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Finding the Fourth Proportional to 5,072.82, 7,000.82 and 2,835

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Solution

The fourth proportional to 5,072.82, 7,000.82 and 2,835 is: 3,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.82 : 7,000.82 = 2,835 : x
  2. Step 2: Convert to fraction form
    5,072.82/7,000.82 = 2,835/x
  3. Step 3: Cross multiply
    5,072.82x = 7,000.82 × 2,835
  4. Step 4: Simplify right side
    5,072.82x = 19,847,324.70
  5. Step 5: Solve for x
    x = 19,847,324.70/5,072.82
  6. Step 6: Final answer
    x = 3,912.48

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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.