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Finding the Fourth Proportional to 5,399.87, 8,099.87 and 1,889.87

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Solution

The fourth proportional to 5,399.87, 8,099.87 and 1,889.87 is: 2,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.87 : 8,099.87 = 1,889.87 : x
  2. Step 2: Convert to fraction form
    5,399.87/8,099.87 = 1,889.87/x
  3. Step 3: Cross multiply
    5,399.87x = 8,099.87 × 1,889.87
  4. Step 4: Simplify right side
    5,399.87x = 15,307,651.37
  5. Step 5: Solve for x
    x = 15,307,651.37/5,399.87
  6. Step 6: Final answer
    x = 2,834.82

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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.