Home / 1,965.91-2,951.77-1,311.86

Finding the Fourth Proportional to 1,965.91, 2,951.77 and 1,311.86

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Solution

The fourth proportional to 1,965.91, 2,951.77 and 1,311.86 is: 1,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.91 : 2,951.77 = 1,311.86 : x
  2. Step 2: Convert to fraction form
    1,965.91/2,951.77 = 1,311.86/x
  3. Step 3: Cross multiply
    1,965.91x = 2,951.77 × 1,311.86
  4. Step 4: Simplify right side
    1,965.91x = 3,872,299.41
  5. Step 5: Solve for x
    x = 3,872,299.41/1,965.91
  6. Step 6: Final answer
    x = 1,969.73

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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.