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Finding the Fourth Proportional to 2,771.84, 3,825 and 1,723.88

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Solution

The fourth proportional to 2,771.84, 3,825 and 1,723.88 is: 2,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.84 : 3,825 = 1,723.88 : x
  2. Step 2: Convert to fraction form
    2,771.84/3,825 = 1,723.88/x
  3. Step 3: Cross multiply
    2,771.84x = 3,825 × 1,723.88
  4. Step 4: Simplify right side
    2,771.84x = 6,593,841
  5. Step 5: Solve for x
    x = 6,593,841/2,771.84
  6. Step 6: Final answer
    x = 2,378.87

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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.