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Finding the Fourth Proportional to 5,698, 7,863.96 and 3,214

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Solution

The fourth proportional to 5,698, 7,863.96 and 3,214 is: 4,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698 : 7,863.96 = 3,214 : x
  2. Step 2: Convert to fraction form
    5,698/7,863.96 = 3,214/x
  3. Step 3: Cross multiply
    5,698x = 7,863.96 × 3,214
  4. Step 4: Simplify right side
    5,698x = 25,274,767.44
  5. Step 5: Solve for x
    x = 25,274,767.44/5,698
  6. Step 6: Final answer
    x = 4,435.73

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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.