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Finding the Fourth Proportional to 2,604.03, 3,905.75 and 960.44

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Solution

The fourth proportional to 2,604.03, 3,905.75 and 960.44 is: 1,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.03 : 3,905.75 = 960.44 : x
  2. Step 2: Convert to fraction form
    2,604.03/3,905.75 = 960.44/x
  3. Step 3: Cross multiply
    2,604.03x = 3,905.75 × 960.44
  4. Step 4: Simplify right side
    2,604.03x = 3,751,214.20
  5. Step 5: Solve for x
    x = 3,751,214.20/2,604.03
  6. Step 6: Final answer
    x = 1,440.54

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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.