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Finding the Fourth Proportional to 2,912.32, 4,348.32 and 2,834.56

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Solution

The fourth proportional to 2,912.32, 4,348.32 and 2,834.56 is: 4,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.32 : 4,348.32 = 2,834.56 : x
  2. Step 2: Convert to fraction form
    2,912.32/4,348.32 = 2,834.56/x
  3. Step 3: Cross multiply
    2,912.32x = 4,348.32 × 2,834.56
  4. Step 4: Simplify right side
    2,912.32x = 12,325,573.94
  5. Step 5: Solve for x
    x = 12,325,573.94/2,912.32
  6. Step 6: Final answer
    x = 4,232.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.