Home / 2,771.96-3,830.76-2,273.80

Finding the Fourth Proportional to 2,771.96, 3,830.76 and 2,273.80

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Solution

The fourth proportional to 2,771.96, 3,830.76 and 2,273.80 is: 3,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.96 : 3,830.76 = 2,273.80 : x
  2. Step 2: Convert to fraction form
    2,771.96/3,830.76 = 2,273.80/x
  3. Step 3: Cross multiply
    2,771.96x = 3,830.76 × 2,273.80
  4. Step 4: Simplify right side
    2,771.96x = 8,710,382.09
  5. Step 5: Solve for x
    x = 8,710,382.09/2,771.96
  6. Step 6: Final answer
    x = 3,142.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.