Home / 2,071.22-3,107.97-1,609.92

Finding the Fourth Proportional to 2,071.22, 3,107.97 and 1,609.92

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Solution

The fourth proportional to 2,071.22, 3,107.97 and 1,609.92 is: 2,415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.22 : 3,107.97 = 1,609.92 : x
  2. Step 2: Convert to fraction form
    2,071.22/3,107.97 = 1,609.92/x
  3. Step 3: Cross multiply
    2,071.22x = 3,107.97 × 1,609.92
  4. Step 4: Simplify right side
    2,071.22x = 5,003,583.06
  5. Step 5: Solve for x
    x = 5,003,583.06/2,071.22
  6. Step 6: Final answer
    x = 2,415.77

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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.