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Finding the Fourth Proportional to 2,097.85, 3,146.78 and 998.89

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Solution

The fourth proportional to 2,097.85, 3,146.78 and 998.89 is: 1,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.85 : 3,146.78 = 998.89 : x
  2. Step 2: Convert to fraction form
    2,097.85/3,146.78 = 998.89/x
  3. Step 3: Cross multiply
    2,097.85x = 3,146.78 × 998.89
  4. Step 4: Simplify right side
    2,097.85x = 3,143,287.07
  5. Step 5: Solve for x
    x = 3,143,287.07/2,097.85
  6. Step 6: Final answer
    x = 1,498.34

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Double scale
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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.