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Finding the Fourth Proportional to 2,198.70, 3,294 and 2,018.34

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Solution

The fourth proportional to 2,198.70, 3,294 and 2,018.34 is: 3,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.70 : 3,294 = 2,018.34 : x
  2. Step 2: Convert to fraction form
    2,198.70/3,294 = 2,018.34/x
  3. Step 3: Cross multiply
    2,198.70x = 3,294 × 2,018.34
  4. Step 4: Simplify right side
    2,198.70x = 6,648,411.96
  5. Step 5: Solve for x
    x = 6,648,411.96/2,198.70
  6. Step 6: Final answer
    x = 3,023.79

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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.