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Finding the Fourth Proportional to 2,097.23, 3,145.23 and 798.39

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Solution

The fourth proportional to 2,097.23, 3,145.23 and 798.39 is: 1,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.23 : 3,145.23 = 798.39 : x
  2. Step 2: Convert to fraction form
    2,097.23/3,145.23 = 798.39/x
  3. Step 3: Cross multiply
    2,097.23x = 3,145.23 × 798.39
  4. Step 4: Simplify right side
    2,097.23x = 2,511,120.18
  5. Step 5: Solve for x
    x = 2,511,120.18/2,097.23
  6. Step 6: Final answer
    x = 1,197.35

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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.