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Finding the Fourth Proportional to 6,121.71, 9,186.12 and 3,661.29

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Solution

The fourth proportional to 6,121.71, 9,186.12 and 3,661.29 is: 5,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.71 : 9,186.12 = 3,661.29 : x
  2. Step 2: Convert to fraction form
    6,121.71/9,186.12 = 3,661.29/x
  3. Step 3: Cross multiply
    6,121.71x = 9,186.12 × 3,661.29
  4. Step 4: Simplify right side
    6,121.71x = 33,633,049.29
  5. Step 5: Solve for x
    x = 33,633,049.29/6,121.71
  6. Step 6: Final answer
    x = 5,494.06

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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.