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Finding the Fourth Proportional to 2,653.83, 3,982.23 and 2,489.67

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Solution

The fourth proportional to 2,653.83, 3,982.23 and 2,489.67 is: 3,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.83 : 3,982.23 = 2,489.67 : x
  2. Step 2: Convert to fraction form
    2,653.83/3,982.23 = 2,489.67/x
  3. Step 3: Cross multiply
    2,653.83x = 3,982.23 × 2,489.67
  4. Step 4: Simplify right side
    2,653.83x = 9,914,438.56
  5. Step 5: Solve for x
    x = 9,914,438.56/2,653.83
  6. Step 6: Final answer
    x = 3,735.90

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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.