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Finding the Fourth Proportional to 5,198, 7,799.82 and 3,011

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Solution

The fourth proportional to 5,198, 7,799.82 and 3,011 is: 4,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198 : 7,799.82 = 3,011 : x
  2. Step 2: Convert to fraction form
    5,198/7,799.82 = 3,011/x
  3. Step 3: Cross multiply
    5,198x = 7,799.82 × 3,011
  4. Step 4: Simplify right side
    5,198x = 23,485,258.02
  5. Step 5: Solve for x
    x = 23,485,258.02/5,198
  6. Step 6: Final answer
    x = 4,518.13

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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.