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Finding the Fourth Proportional to 2,097.12, 3,145.86 and 798.60

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Solution

The fourth proportional to 2,097.12, 3,145.86 and 798.60 is: 1,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.12 : 3,145.86 = 798.60 : x
  2. Step 2: Convert to fraction form
    2,097.12/3,145.86 = 798.60/x
  3. Step 3: Cross multiply
    2,097.12x = 3,145.86 × 798.60
  4. Step 4: Simplify right side
    2,097.12x = 2,512,283.80
  5. Step 5: Solve for x
    x = 2,512,283.80/2,097.12
  6. Step 6: Final answer
    x = 1,197.97

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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.