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Finding the Fourth Proportional to 2,168.64, 2,991.20 and 2,096.30

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Solution

The fourth proportional to 2,168.64, 2,991.20 and 2,096.30 is: 2,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.64 : 2,991.20 = 2,096.30 : x
  2. Step 2: Convert to fraction form
    2,168.64/2,991.20 = 2,096.30/x
  3. Step 3: Cross multiply
    2,168.64x = 2,991.20 × 2,096.30
  4. Step 4: Simplify right side
    2,168.64x = 6,270,449.56
  5. Step 5: Solve for x
    x = 6,270,449.56/2,168.64
  6. Step 6: Final answer
    x = 2,891.42

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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.