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Finding the Fourth Proportional to 2,105.96, 3,158.36 and 873.08

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Solution

The fourth proportional to 2,105.96, 3,158.36 and 873.08 is: 1,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.96 : 3,158.36 = 873.08 : x
  2. Step 2: Convert to fraction form
    2,105.96/3,158.36 = 873.08/x
  3. Step 3: Cross multiply
    2,105.96x = 3,158.36 × 873.08
  4. Step 4: Simplify right side
    2,105.96x = 2,757,487.34
  5. Step 5: Solve for x
    x = 2,757,487.34/2,105.96
  6. Step 6: Final answer
    x = 1,309.37

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1.5x scale

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.