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Finding the Fourth Proportional to 2,107.26, 3,158.13 and 873.21

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Solution

The fourth proportional to 2,107.26, 3,158.13 and 873.21 is: 1,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.26 : 3,158.13 = 873.21 : x
  2. Step 2: Convert to fraction form
    2,107.26/3,158.13 = 873.21/x
  3. Step 3: Cross multiply
    2,107.26x = 3,158.13 × 873.21
  4. Step 4: Simplify right side
    2,107.26x = 2,757,710.70
  5. Step 5: Solve for x
    x = 2,757,710.70/2,107.26
  6. Step 6: Final answer
    x = 1,308.67

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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.