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Finding the Fourth Proportional to 1,996.69, 2,974.97 and 1,884.91

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Solution

The fourth proportional to 1,996.69, 2,974.97 and 1,884.91 is: 2,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.69 : 2,974.97 = 1,884.91 : x
  2. Step 2: Convert to fraction form
    1,996.69/2,974.97 = 1,884.91/x
  3. Step 3: Cross multiply
    1,996.69x = 2,974.97 × 1,884.91
  4. Step 4: Simplify right side
    1,996.69x = 5,607,533.84
  5. Step 5: Solve for x
    x = 5,607,533.84/1,996.69
  6. Step 6: Final answer
    x = 2,808.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.