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Finding the Fourth Proportional to 4,863, 6,704.80 and 3,181.75

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Solution

The fourth proportional to 4,863, 6,704.80 and 3,181.75 is: 4,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863 : 6,704.80 = 3,181.75 : x
  2. Step 2: Convert to fraction form
    4,863/6,704.80 = 3,181.75/x
  3. Step 3: Cross multiply
    4,863x = 6,704.80 × 3,181.75
  4. Step 4: Simplify right side
    4,863x = 21,332,963.88
  5. Step 5: Solve for x
    x = 21,332,963.88/4,863
  6. Step 6: Final answer
    x = 4,386.79

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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.