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Finding the Fourth Proportional to 2,097.09, 3,145.62 and 537.09

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Solution

The fourth proportional to 2,097.09, 3,145.62 and 537.09 is: 805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.09 : 3,145.62 = 537.09 : x
  2. Step 2: Convert to fraction form
    2,097.09/3,145.62 = 537.09/x
  3. Step 3: Cross multiply
    2,097.09x = 3,145.62 × 537.09
  4. Step 4: Simplify right side
    2,097.09x = 1,689,469.25
  5. Step 5: Solve for x
    x = 1,689,469.25/2,097.09
  6. Step 6: Final answer
    x = 805.63

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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.