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Finding the Fourth Proportional to 9,819.69, 14,729.19 and 3,245.70

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Solution

The fourth proportional to 9,819.69, 14,729.19 and 3,245.70 is: 4,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.69 : 14,729.19 = 3,245.70 : x
  2. Step 2: Convert to fraction form
    9,819.69/14,729.19 = 3,245.70/x
  3. Step 3: Cross multiply
    9,819.69x = 14,729.19 × 3,245.70
  4. Step 4: Simplify right side
    9,819.69x = 47,806,531.98
  5. Step 5: Solve for x
    x = 47,806,531.98/9,819.69
  6. Step 6: Final answer
    x = 4,868.44

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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.