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Finding the Fourth Proportional to 5,198.69, 7,806.68 and 5,158.37

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Solution

The fourth proportional to 5,198.69, 7,806.68 and 5,158.37 is: 7,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.69 : 7,806.68 = 5,158.37 : x
  2. Step 2: Convert to fraction form
    5,198.69/7,806.68 = 5,158.37/x
  3. Step 3: Cross multiply
    5,198.69x = 7,806.68 × 5,158.37
  4. Step 4: Simplify right side
    5,198.69x = 40,269,743.91
  5. Step 5: Solve for x
    x = 40,269,743.91/5,198.69
  6. Step 6: Final answer
    x = 7,746.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.