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Finding the Fourth Proportional to 4,806.69, 7,210.08 and 1,519.80

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Solution

The fourth proportional to 4,806.69, 7,210.08 and 1,519.80 is: 2,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.69 : 7,210.08 = 1,519.80 : x
  2. Step 2: Convert to fraction form
    4,806.69/7,210.08 = 1,519.80/x
  3. Step 3: Cross multiply
    4,806.69x = 7,210.08 × 1,519.80
  4. Step 4: Simplify right side
    4,806.69x = 10,957,879.58
  5. Step 5: Solve for x
    x = 10,957,879.58/4,806.69
  6. Step 6: Final answer
    x = 2,279.71

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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.