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Finding the Fourth Proportional to 6,729.33, 9,287.22 and 4,078.20

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Solution

The fourth proportional to 6,729.33, 9,287.22 and 4,078.20 is: 5,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.33 : 9,287.22 = 4,078.20 : x
  2. Step 2: Convert to fraction form
    6,729.33/9,287.22 = 4,078.20/x
  3. Step 3: Cross multiply
    6,729.33x = 9,287.22 × 4,078.20
  4. Step 4: Simplify right side
    6,729.33x = 37,875,140.60
  5. Step 5: Solve for x
    x = 37,875,140.60/6,729.33
  6. Step 6: Final answer
    x = 5,628.37

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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.