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Finding the Fourth Proportional to 5,198.87, 7,173.83 and 2,929.77

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Solution

The fourth proportional to 5,198.87, 7,173.83 and 2,929.77 is: 4,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.87 : 7,173.83 = 2,929.77 : x
  2. Step 2: Convert to fraction form
    5,198.87/7,173.83 = 2,929.77/x
  3. Step 3: Cross multiply
    5,198.87x = 7,173.83 × 2,929.77
  4. Step 4: Simplify right side
    5,198.87x = 21,017,657.27
  5. Step 5: Solve for x
    x = 21,017,657.27/5,198.87
  6. Step 6: Final answer
    x = 4,042.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.