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Finding the Fourth Proportional to 2,771.86, 3,822.60 and 2,065.44

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Solution

The fourth proportional to 2,771.86, 3,822.60 and 2,065.44 is: 2,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.86 : 3,822.60 = 2,065.44 : x
  2. Step 2: Convert to fraction form
    2,771.86/3,822.60 = 2,065.44/x
  3. Step 3: Cross multiply
    2,771.86x = 3,822.60 × 2,065.44
  4. Step 4: Simplify right side
    2,771.86x = 7,895,350.94
  5. Step 5: Solve for x
    x = 7,895,350.94/2,771.86
  6. Step 6: Final answer
    x = 2,848.39

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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.