Home / 1,982.04-2,970.40-1,198.76

Finding the Fourth Proportional to 1,982.04, 2,970.40 and 1,198.76

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Solution

The fourth proportional to 1,982.04, 2,970.40 and 1,198.76 is: 1,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.04 : 2,970.40 = 1,198.76 : x
  2. Step 2: Convert to fraction form
    1,982.04/2,970.40 = 1,198.76/x
  3. Step 3: Cross multiply
    1,982.04x = 2,970.40 × 1,198.76
  4. Step 4: Simplify right side
    1,982.04x = 3,560,796.70
  5. Step 5: Solve for x
    x = 3,560,796.70/1,982.04
  6. Step 6: Final answer
    x = 1,796.53

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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.