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Finding the Fourth Proportional to 3,900.57, 5,852.87 and 2,982.03

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Solution

The fourth proportional to 3,900.57, 5,852.87 and 2,982.03 is: 4,474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.57 : 5,852.87 = 2,982.03 : x
  2. Step 2: Convert to fraction form
    3,900.57/5,852.87 = 2,982.03/x
  3. Step 3: Cross multiply
    3,900.57x = 5,852.87 × 2,982.03
  4. Step 4: Simplify right side
    3,900.57x = 17,453,433.93
  5. Step 5: Solve for x
    x = 17,453,433.93/3,900.57
  6. Step 6: Final answer
    x = 4,474.59

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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.