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Finding the Fourth Proportional to 2,198.51, 3,296.54 and 900.89

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Solution

The fourth proportional to 2,198.51, 3,296.54 and 900.89 is: 1,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.51 : 3,296.54 = 900.89 : x
  2. Step 2: Convert to fraction form
    2,198.51/3,296.54 = 900.89/x
  3. Step 3: Cross multiply
    2,198.51x = 3,296.54 × 900.89
  4. Step 4: Simplify right side
    2,198.51x = 2,969,819.92
  5. Step 5: Solve for x
    x = 2,969,819.92/2,198.51
  6. Step 6: Final answer
    x = 1,350.83

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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.