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Finding the Fourth Proportional to 4,934, 6,805.70 and 3,162.80

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Solution

The fourth proportional to 4,934, 6,805.70 and 3,162.80 is: 4,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934 : 6,805.70 = 3,162.80 : x
  2. Step 2: Convert to fraction form
    4,934/6,805.70 = 3,162.80/x
  3. Step 3: Cross multiply
    4,934x = 6,805.70 × 3,162.80
  4. Step 4: Simplify right side
    4,934x = 21,525,067.96
  5. Step 5: Solve for x
    x = 21,525,067.96/4,934
  6. Step 6: Final answer
    x = 4,362.60

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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.