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Finding the Fourth Proportional to 3,825, 5,278.50 and 2,169

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Solution

The fourth proportional to 3,825, 5,278.50 and 2,169 is: 2,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825 : 5,278.50 = 2,169 : x
  2. Step 2: Convert to fraction form
    3,825/5,278.50 = 2,169/x
  3. Step 3: Cross multiply
    3,825x = 5,278.50 × 2,169
  4. Step 4: Simplify right side
    3,825x = 11,449,066.50
  5. Step 5: Solve for x
    x = 11,449,066.50/3,825
  6. Step 6: Final answer
    x = 2,993.22

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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.