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Finding the Fourth Proportional to 7,143.44, 10,722.09 and 3,448.27

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Solution

The fourth proportional to 7,143.44, 10,722.09 and 3,448.27 is: 5,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.44 : 10,722.09 = 3,448.27 : x
  2. Step 2: Convert to fraction form
    7,143.44/10,722.09 = 3,448.27/x
  3. Step 3: Cross multiply
    7,143.44x = 10,722.09 × 3,448.27
  4. Step 4: Simplify right side
    7,143.44x = 36,972,644.04
  5. Step 5: Solve for x
    x = 36,972,644.04/7,143.44
  6. Step 6: Final answer
    x = 5,175.75

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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.