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Finding the Fourth Proportional to 6,189, 9,284.94 and 2,085

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Solution

The fourth proportional to 6,189, 9,284.94 and 2,085 is: 3,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189 : 9,284.94 = 2,085 : x
  2. Step 2: Convert to fraction form
    6,189/9,284.94 = 2,085/x
  3. Step 3: Cross multiply
    6,189x = 9,284.94 × 2,085
  4. Step 4: Simplify right side
    6,189x = 19,359,099.90
  5. Step 5: Solve for x
    x = 19,359,099.90/6,189
  6. Step 6: Final answer
    x = 3,127.99

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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.