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Finding the Fourth Proportional to 2,786.16, 3,843.54 and 2,160.84

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Solution

The fourth proportional to 2,786.16, 3,843.54 and 2,160.84 is: 2,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.16 : 3,843.54 = 2,160.84 : x
  2. Step 2: Convert to fraction form
    2,786.16/3,843.54 = 2,160.84/x
  3. Step 3: Cross multiply
    2,786.16x = 3,843.54 × 2,160.84
  4. Step 4: Simplify right side
    2,786.16x = 8,305,274.97
  5. Step 5: Solve for x
    x = 8,305,274.97/2,786.16
  6. Step 6: Final answer
    x = 2,980.90

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1.5x scale

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.