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Finding the Fourth Proportional to 2,722.09, 4,082.91 and 872.71

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Solution

The fourth proportional to 2,722.09, 4,082.91 and 872.71 is: 1,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.09 : 4,082.91 = 872.71 : x
  2. Step 2: Convert to fraction form
    2,722.09/4,082.91 = 872.71/x
  3. Step 3: Cross multiply
    2,722.09x = 4,082.91 × 872.71
  4. Step 4: Simplify right side
    2,722.09x = 3,563,188.36
  5. Step 5: Solve for x
    x = 3,563,188.36/2,722.09
  6. Step 6: Final answer
    x = 1,308.99

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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.