Home / 1,982.22-2,971.19-1,289.39

Finding the Fourth Proportional to 1,982.22, 2,971.19 and 1,289.39

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Solution

The fourth proportional to 1,982.22, 2,971.19 and 1,289.39 is: 1,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.22 : 2,971.19 = 1,289.39 : x
  2. Step 2: Convert to fraction form
    1,982.22/2,971.19 = 1,289.39/x
  3. Step 3: Cross multiply
    1,982.22x = 2,971.19 × 1,289.39
  4. Step 4: Simplify right side
    1,982.22x = 3,831,001.37
  5. Step 5: Solve for x
    x = 3,831,001.37/1,982.22
  6. Step 6: Final answer
    x = 1,932.68

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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.