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Finding the Fourth Proportional to 6,193, 9,289.50 and 2,089

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Solution

The fourth proportional to 6,193, 9,289.50 and 2,089 is: 3,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193 : 9,289.50 = 2,089 : x
  2. Step 2: Convert to fraction form
    6,193/9,289.50 = 2,089/x
  3. Step 3: Cross multiply
    6,193x = 9,289.50 × 2,089
  4. Step 4: Simplify right side
    6,193x = 19,405,765.50
  5. Step 5: Solve for x
    x = 19,405,765.50/6,193
  6. Step 6: Final answer
    x = 3,133.50

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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.