Home / 2,149.32-3,222.76-1,965.86

Finding the Fourth Proportional to 2,149.32, 3,222.76 and 1,965.86

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Solution

The fourth proportional to 2,149.32, 3,222.76 and 1,965.86 is: 2,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.32 : 3,222.76 = 1,965.86 : x
  2. Step 2: Convert to fraction form
    2,149.32/3,222.76 = 1,965.86/x
  3. Step 3: Cross multiply
    2,149.32x = 3,222.76 × 1,965.86
  4. Step 4: Simplify right side
    2,149.32x = 6,335,494.97
  5. Step 5: Solve for x
    x = 6,335,494.97/2,149.32
  6. Step 6: Final answer
    x = 2,947.67

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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.