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Finding the Fourth Proportional to 1,993.91, 2,970.82 and 1,882.13

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Solution

The fourth proportional to 1,993.91, 2,970.82 and 1,882.13 is: 2,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.91 : 2,970.82 = 1,882.13 : x
  2. Step 2: Convert to fraction form
    1,993.91/2,970.82 = 1,882.13/x
  3. Step 3: Cross multiply
    1,993.91x = 2,970.82 × 1,882.13
  4. Step 4: Simplify right side
    1,993.91x = 5,591,456.95
  5. Step 5: Solve for x
    x = 5,591,456.95/1,993.91
  6. Step 6: Final answer
    x = 2,804.27

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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.