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Finding the Fourth Proportional to 4,959, 6,843.69 and 2,863.80

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Solution

The fourth proportional to 4,959, 6,843.69 and 2,863.80 is: 3,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959 : 6,843.69 = 2,863.80 : x
  2. Step 2: Convert to fraction form
    4,959/6,843.69 = 2,863.80/x
  3. Step 3: Cross multiply
    4,959x = 6,843.69 × 2,863.80
  4. Step 4: Simplify right side
    4,959x = 19,598,959.42
  5. Step 5: Solve for x
    x = 19,598,959.42/4,959
  6. Step 6: Final answer
    x = 3,952.20

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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.