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Finding the Fourth Proportional to 2,027.01, 3,040.35 and 640.40

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Solution

The fourth proportional to 2,027.01, 3,040.35 and 640.40 is: 960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.01 : 3,040.35 = 640.40 : x
  2. Step 2: Convert to fraction form
    2,027.01/3,040.35 = 640.40/x
  3. Step 3: Cross multiply
    2,027.01x = 3,040.35 × 640.40
  4. Step 4: Simplify right side
    2,027.01x = 1,947,024.94
  5. Step 5: Solve for x
    x = 1,947,024.94/2,027.01
  6. Step 6: Final answer
    x = 960.54

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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.