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Finding the Fourth Proportional to 3,324.70, 4,988.67 and 1,680.67

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Solution

The fourth proportional to 3,324.70, 4,988.67 and 1,680.67 is: 2,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.70 : 4,988.67 = 1,680.67 : x
  2. Step 2: Convert to fraction form
    3,324.70/4,988.67 = 1,680.67/x
  3. Step 3: Cross multiply
    3,324.70x = 4,988.67 × 1,680.67
  4. Step 4: Simplify right side
    3,324.70x = 8,384,308.01
  5. Step 5: Solve for x
    x = 8,384,308.01/3,324.70
  6. Step 6: Final answer
    x = 2,521.82

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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.