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Finding the Fourth Proportional to 2,026.94, 3,040.98 and 640.25

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Solution

The fourth proportional to 2,026.94, 3,040.98 and 640.25 is: 960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.94 : 3,040.98 = 640.25 : x
  2. Step 2: Convert to fraction form
    2,026.94/3,040.98 = 640.25/x
  3. Step 3: Cross multiply
    2,026.94x = 3,040.98 × 640.25
  4. Step 4: Simplify right side
    2,026.94x = 1,946,972.24
  5. Step 5: Solve for x
    x = 1,946,972.24/2,026.94
  6. Step 6: Final answer
    x = 960.55

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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.