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Finding the Fourth Proportional to 2,018.36, 3,027.81 and 1,982.18

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Solution

The fourth proportional to 2,018.36, 3,027.81 and 1,982.18 is: 2,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.36 : 3,027.81 = 1,982.18 : x
  2. Step 2: Convert to fraction form
    2,018.36/3,027.81 = 1,982.18/x
  3. Step 3: Cross multiply
    2,018.36x = 3,027.81 × 1,982.18
  4. Step 4: Simplify right side
    2,018.36x = 6,001,664.43
  5. Step 5: Solve for x
    x = 6,001,664.43/2,018.36
  6. Step 6: Final answer
    x = 2,973.54

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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.