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Finding the Fourth Proportional to 6,628.37, 9,147.37 and 3,644.33

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Solution

The fourth proportional to 6,628.37, 9,147.37 and 3,644.33 is: 5,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.37 : 9,147.37 = 3,644.33 : x
  2. Step 2: Convert to fraction form
    6,628.37/9,147.37 = 3,644.33/x
  3. Step 3: Cross multiply
    6,628.37x = 9,147.37 × 3,644.33
  4. Step 4: Simplify right side
    6,628.37x = 33,336,034.91
  5. Step 5: Solve for x
    x = 33,336,034.91/6,628.37
  6. Step 6: Final answer
    x = 5,029.30

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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.