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Finding the Fourth Proportional to 2,722.56, 4,072.32 and 2,146.56

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Solution

The fourth proportional to 2,722.56, 4,072.32 and 2,146.56 is: 3,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.56 : 4,072.32 = 2,146.56 : x
  2. Step 2: Convert to fraction form
    2,722.56/4,072.32 = 2,146.56/x
  3. Step 3: Cross multiply
    2,722.56x = 4,072.32 × 2,146.56
  4. Step 4: Simplify right side
    2,722.56x = 8,741,479.22
  5. Step 5: Solve for x
    x = 8,741,479.22/2,722.56
  6. Step 6: Final answer
    x = 3,210.76

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1.5x scale

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.