Home / 3,409.40-5,109.06-1,949

Finding the Fourth Proportional to 3,409.40, 5,109.06 and 1,949

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Solution

The fourth proportional to 3,409.40, 5,109.06 and 1,949 is: 2,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.40 : 5,109.06 = 1,949 : x
  2. Step 2: Convert to fraction form
    3,409.40/5,109.06 = 1,949/x
  3. Step 3: Cross multiply
    3,409.40x = 5,109.06 × 1,949
  4. Step 4: Simplify right side
    3,409.40x = 9,957,557.94
  5. Step 5: Solve for x
    x = 9,957,557.94/3,409.40
  6. Step 6: Final answer
    x = 2,920.62

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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.