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Finding the Fourth Proportional to 6,339.96, 9,511.46 and 1,898

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Solution

The fourth proportional to 6,339.96, 9,511.46 and 1,898 is: 2,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.96 : 9,511.46 = 1,898 : x
  2. Step 2: Convert to fraction form
    6,339.96/9,511.46 = 1,898/x
  3. Step 3: Cross multiply
    6,339.96x = 9,511.46 × 1,898
  4. Step 4: Simplify right side
    6,339.96x = 18,052,751.08
  5. Step 5: Solve for x
    x = 18,052,751.08/6,339.96
  6. Step 6: Final answer
    x = 2,847.46

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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.