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Finding the Fourth Proportional to 2,774.56, 4,161.90 and 694.54

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Solution

The fourth proportional to 2,774.56, 4,161.90 and 694.54 is: 1,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.56 : 4,161.90 = 694.54 : x
  2. Step 2: Convert to fraction form
    2,774.56/4,161.90 = 694.54/x
  3. Step 3: Cross multiply
    2,774.56x = 4,161.90 × 694.54
  4. Step 4: Simplify right side
    2,774.56x = 2,890,606.03
  5. Step 5: Solve for x
    x = 2,890,606.03/2,774.56
  6. Step 6: Final answer
    x = 1,041.83

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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.