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Finding the Fourth Proportional to 5,082, 7,013.19 and 2,843.97

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Solution

The fourth proportional to 5,082, 7,013.19 and 2,843.97 is: 3,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082 : 7,013.19 = 2,843.97 : x
  2. Step 2: Convert to fraction form
    5,082/7,013.19 = 2,843.97/x
  3. Step 3: Cross multiply
    5,082x = 7,013.19 × 2,843.97
  4. Step 4: Simplify right side
    5,082x = 19,945,301.96
  5. Step 5: Solve for x
    x = 19,945,301.96/5,082
  6. Step 6: Final answer
    x = 3,924.70

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