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Finding the Fourth Proportional to 2,190, 3,285 and 2,134.92

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Solution

The fourth proportional to 2,190, 3,285 and 2,134.92 is: 3,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190 : 3,285 = 2,134.92 : x
  2. Step 2: Convert to fraction form
    2,190/3,285 = 2,134.92/x
  3. Step 3: Cross multiply
    2,190x = 3,285 × 2,134.92
  4. Step 4: Simplify right side
    2,190x = 7,013,212.20
  5. Step 5: Solve for x
    x = 7,013,212.20/2,190
  6. Step 6: Final answer
    x = 3,202.38

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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.