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Finding the Fourth Proportional to 2,857, 4,288.38 and 2,079.40

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Solution

The fourth proportional to 2,857, 4,288.38 and 2,079.40 is: 3,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857 : 4,288.38 = 2,079.40 : x
  2. Step 2: Convert to fraction form
    2,857/4,288.38 = 2,079.40/x
  3. Step 3: Cross multiply
    2,857x = 4,288.38 × 2,079.40
  4. Step 4: Simplify right side
    2,857x = 8,917,257.37
  5. Step 5: Solve for x
    x = 8,917,257.37/2,857
  6. Step 6: Final answer
    x = 3,121.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.