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Finding the Fourth Proportional to 5,760.56, 7,898.62 and 5,198.96

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Solution

The fourth proportional to 5,760.56, 7,898.62 and 5,198.96 is: 7,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.56 : 7,898.62 = 5,198.96 : x
  2. Step 2: Convert to fraction form
    5,760.56/7,898.62 = 5,198.96/x
  3. Step 3: Cross multiply
    5,760.56x = 7,898.62 × 5,198.96
  4. Step 4: Simplify right side
    5,760.56x = 41,064,609.44
  5. Step 5: Solve for x
    x = 41,064,609.44/5,760.56
  6. Step 6: Final answer
    x = 7,128.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.