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Finding the Fourth Proportional to 2,105.66, 3,157.96 and 873.41

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Solution

The fourth proportional to 2,105.66, 3,157.96 and 873.41 is: 1,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.66 : 3,157.96 = 873.41 : x
  2. Step 2: Convert to fraction form
    2,105.66/3,157.96 = 873.41/x
  3. Step 3: Cross multiply
    2,105.66x = 3,157.96 × 873.41
  4. Step 4: Simplify right side
    2,105.66x = 2,758,193.84
  5. Step 5: Solve for x
    x = 2,758,193.84/2,105.66
  6. Step 6: Final answer
    x = 1,309.90

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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.