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Finding the Fourth Proportional to 6,338.91, 9,509 and 2,178.37

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Solution

The fourth proportional to 6,338.91, 9,509 and 2,178.37 is: 3,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.91 : 9,509 = 2,178.37 : x
  2. Step 2: Convert to fraction form
    6,338.91/9,509 = 2,178.37/x
  3. Step 3: Cross multiply
    6,338.91x = 9,509 × 2,178.37
  4. Step 4: Simplify right side
    6,338.91x = 20,714,120.33
  5. Step 5: Solve for x
    x = 20,714,120.33/6,338.91
  6. Step 6: Final answer
    x = 3,267.77

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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.