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Finding the Fourth Proportional to 6,858, 9,464.48 and 3,872.75

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Solution

The fourth proportional to 6,858, 9,464.48 and 3,872.75 is: 5,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858 : 9,464.48 = 3,872.75 : x
  2. Step 2: Convert to fraction form
    6,858/9,464.48 = 3,872.75/x
  3. Step 3: Cross multiply
    6,858x = 9,464.48 × 3,872.75
  4. Step 4: Simplify right side
    6,858x = 36,653,564.92
  5. Step 5: Solve for x
    x = 36,653,564.92/6,858
  6. Step 6: Final answer
    x = 5,344.64

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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.