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Finding the Fourth Proportional to 6,884.36, 9,500.24 and 3,900.12

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Solution

The fourth proportional to 6,884.36, 9,500.24 and 3,900.12 is: 5,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.36 : 9,500.24 = 3,900.12 : x
  2. Step 2: Convert to fraction form
    6,884.36/9,500.24 = 3,900.12/x
  3. Step 3: Cross multiply
    6,884.36x = 9,500.24 × 3,900.12
  4. Step 4: Simplify right side
    6,884.36x = 37,052,028.22
  5. Step 5: Solve for x
    x = 37,052,028.22/6,884.36
  6. Step 6: Final answer
    x = 5,382.06

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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.