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Finding the Fourth Proportional to 5,790.78, 7,982.88 and 3,797.88

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Solution

The fourth proportional to 5,790.78, 7,982.88 and 3,797.88 is: 5,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.78 : 7,982.88 = 3,797.88 : x
  2. Step 2: Convert to fraction form
    5,790.78/7,982.88 = 3,797.88/x
  3. Step 3: Cross multiply
    5,790.78x = 7,982.88 × 3,797.88
  4. Step 4: Simplify right side
    5,790.78x = 30,318,020.29
  5. Step 5: Solve for x
    x = 30,318,020.29/5,790.78
  6. Step 6: Final answer
    x = 5,235.57

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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.