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Finding the Fourth Proportional to 4,550, 6,825 and 1,814

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Solution

The fourth proportional to 4,550, 6,825 and 1,814 is: 2,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550 : 6,825 = 1,814 : x
  2. Step 2: Convert to fraction form
    4,550/6,825 = 1,814/x
  3. Step 3: Cross multiply
    4,550x = 6,825 × 1,814
  4. Step 4: Simplify right side
    4,550x = 12,380,550
  5. Step 5: Solve for x
    x = 12,380,550/4,550
  6. Step 6: Final answer
    x = 2,721

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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.