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Finding the Fourth Proportional to 6,628.44, 9,147.25 and 3,644.25

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Solution

The fourth proportional to 6,628.44, 9,147.25 and 3,644.25 is: 5,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.44 : 9,147.25 = 3,644.25 : x
  2. Step 2: Convert to fraction form
    6,628.44/9,147.25 = 3,644.25/x
  3. Step 3: Cross multiply
    6,628.44x = 9,147.25 × 3,644.25
  4. Step 4: Simplify right side
    6,628.44x = 33,334,865.81
  5. Step 5: Solve for x
    x = 33,334,865.81/6,628.44
  6. Step 6: Final answer
    x = 5,029.07

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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.