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Finding the Fourth Proportional to 2,018.10, 3,027.44 and 769.18

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Solution

The fourth proportional to 2,018.10, 3,027.44 and 769.18 is: 1,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.10 : 3,027.44 = 769.18 : x
  2. Step 2: Convert to fraction form
    2,018.10/3,027.44 = 769.18/x
  3. Step 3: Cross multiply
    2,018.10x = 3,027.44 × 769.18
  4. Step 4: Simplify right side
    2,018.10x = 2,328,646.30
  5. Step 5: Solve for x
    x = 2,328,646.30/2,018.10
  6. Step 6: Final answer
    x = 1,153.88

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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.