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Finding the Fourth Proportional to 2,722.32, 4,082.94 and 774.54

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Solution

The fourth proportional to 2,722.32, 4,082.94 and 774.54 is: 1,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.32 : 4,082.94 = 774.54 : x
  2. Step 2: Convert to fraction form
    2,722.32/4,082.94 = 774.54/x
  3. Step 3: Cross multiply
    2,722.32x = 4,082.94 × 774.54
  4. Step 4: Simplify right side
    2,722.32x = 3,162,400.35
  5. Step 5: Solve for x
    x = 3,162,400.35/2,722.32
  6. Step 6: Final answer
    x = 1,161.66

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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.