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Finding the Fourth Proportional to 3,846.84, 5,770.48 and 1,214.43

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Solution

The fourth proportional to 3,846.84, 5,770.48 and 1,214.43 is: 1,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.84 : 5,770.48 = 1,214.43 : x
  2. Step 2: Convert to fraction form
    3,846.84/5,770.48 = 1,214.43/x
  3. Step 3: Cross multiply
    3,846.84x = 5,770.48 × 1,214.43
  4. Step 4: Simplify right side
    3,846.84x = 7,007,815.17
  5. Step 5: Solve for x
    x = 7,007,815.17/3,846.84
  6. Step 6: Final answer
    x = 1,821.71

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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.