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Finding the Fourth Proportional to 2,843.68, 3,893 and 2,824.48

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Solution

The fourth proportional to 2,843.68, 3,893 and 2,824.48 is: 3,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.68 : 3,893 = 2,824.48 : x
  2. Step 2: Convert to fraction form
    2,843.68/3,893 = 2,824.48/x
  3. Step 3: Cross multiply
    2,843.68x = 3,893 × 2,824.48
  4. Step 4: Simplify right side
    2,843.68x = 10,995,700.64
  5. Step 5: Solve for x
    x = 10,995,700.64/2,843.68
  6. Step 6: Final answer
    x = 3,866.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.