Home / 1,982.81-2,969.83-1,287.36

Finding the Fourth Proportional to 1,982.81, 2,969.83 and 1,287.36

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Solution

The fourth proportional to 1,982.81, 2,969.83 and 1,287.36 is: 1,928.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.81 : 2,969.83 = 1,287.36 : x
  2. Step 2: Convert to fraction form
    1,982.81/2,969.83 = 1,287.36/x
  3. Step 3: Cross multiply
    1,982.81x = 2,969.83 × 1,287.36
  4. Step 4: Simplify right side
    1,982.81x = 3,823,241.96
  5. Step 5: Solve for x
    x = 3,823,241.96/1,982.81
  6. Step 6: Final answer
    x = 1,928.19

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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.