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Finding the Fourth Proportional to 3,290.28, 4,912.32 and 2,984.28

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Solution

The fourth proportional to 3,290.28, 4,912.32 and 2,984.28 is: 4,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.28 : 4,912.32 = 2,984.28 : x
  2. Step 2: Convert to fraction form
    3,290.28/4,912.32 = 2,984.28/x
  3. Step 3: Cross multiply
    3,290.28x = 4,912.32 × 2,984.28
  4. Step 4: Simplify right side
    3,290.28x = 14,659,738.33
  5. Step 5: Solve for x
    x = 14,659,738.33/3,290.28
  6. Step 6: Final answer
    x = 4,455.47

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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.