Home / 1,984.14-2,974.05-1,008.09

Finding the Fourth Proportional to 1,984.14, 2,974.05 and 1,008.09

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Solution

The fourth proportional to 1,984.14, 2,974.05 and 1,008.09 is: 1,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.14 : 2,974.05 = 1,008.09 : x
  2. Step 2: Convert to fraction form
    1,984.14/2,974.05 = 1,008.09/x
  3. Step 3: Cross multiply
    1,984.14x = 2,974.05 × 1,008.09
  4. Step 4: Simplify right side
    1,984.14x = 2,998,110.06
  5. Step 5: Solve for x
    x = 2,998,110.06/1,984.14
  6. Step 6: Final answer
    x = 1,511.04

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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.