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Finding the Fourth Proportional to 7,224.26, 9,969.46 and 3,912.26

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Solution

The fourth proportional to 7,224.26, 9,969.46 and 3,912.26 is: 5,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.26 : 9,969.46 = 3,912.26 : x
  2. Step 2: Convert to fraction form
    7,224.26/9,969.46 = 3,912.26/x
  3. Step 3: Cross multiply
    7,224.26x = 9,969.46 × 3,912.26
  4. Step 4: Simplify right side
    7,224.26x = 39,003,119.58
  5. Step 5: Solve for x
    x = 39,003,119.58/7,224.26
  6. Step 6: Final answer
    x = 5,398.91

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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.