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Finding the Fourth Proportional to 6,698, 10,047.56 and 2,081

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Solution

The fourth proportional to 6,698, 10,047.56 and 2,081 is: 3,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698 : 10,047.56 = 2,081 : x
  2. Step 2: Convert to fraction form
    6,698/10,047.56 = 2,081/x
  3. Step 3: Cross multiply
    6,698x = 10,047.56 × 2,081
  4. Step 4: Simplify right side
    6,698x = 20,908,972.36
  5. Step 5: Solve for x
    x = 20,908,972.36/6,698
  6. Step 6: Final answer
    x = 3,121.67

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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.