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Finding the Fourth Proportional to 2,105.78, 3,158.70 and 873.20

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Solution

The fourth proportional to 2,105.78, 3,158.70 and 873.20 is: 1,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.78 : 3,158.70 = 873.20 : x
  2. Step 2: Convert to fraction form
    2,105.78/3,158.70 = 873.20/x
  3. Step 3: Cross multiply
    2,105.78x = 3,158.70 × 873.20
  4. Step 4: Simplify right side
    2,105.78x = 2,758,176.84
  5. Step 5: Solve for x
    x = 2,758,176.84/2,105.78
  6. Step 6: Final answer
    x = 1,309.81

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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.