Home / 1,982.33-2,970.14-1,199.96

Finding the Fourth Proportional to 1,982.33, 2,970.14 and 1,199.96

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Solution

The fourth proportional to 1,982.33, 2,970.14 and 1,199.96 is: 1,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.33 : 2,970.14 = 1,199.96 : x
  2. Step 2: Convert to fraction form
    1,982.33/2,970.14 = 1,199.96/x
  3. Step 3: Cross multiply
    1,982.33x = 2,970.14 × 1,199.96
  4. Step 4: Simplify right side
    1,982.33x = 3,564,049.19
  5. Step 5: Solve for x
    x = 3,564,049.19/1,982.33
  6. Step 6: Final answer
    x = 1,797.91

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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.