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Finding the Fourth Proportional to 2,026.50, 3,040.15 and 640.05

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Solution

The fourth proportional to 2,026.50, 3,040.15 and 640.05 is: 960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.50 : 3,040.15 = 640.05 : x
  2. Step 2: Convert to fraction form
    2,026.50/3,040.15 = 640.05/x
  3. Step 3: Cross multiply
    2,026.50x = 3,040.15 × 640.05
  4. Step 4: Simplify right side
    2,026.50x = 1,945,848.01
  5. Step 5: Solve for x
    x = 1,945,848.01/2,026.50
  6. Step 6: Final answer
    x = 960.20

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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.