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Finding the Fourth Proportional to 6,467.76, 9,694.90 and 4,387.94

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Solution

The fourth proportional to 6,467.76, 9,694.90 and 4,387.94 is: 6,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.76 : 9,694.90 = 4,387.94 : x
  2. Step 2: Convert to fraction form
    6,467.76/9,694.90 = 4,387.94/x
  3. Step 3: Cross multiply
    6,467.76x = 9,694.90 × 4,387.94
  4. Step 4: Simplify right side
    6,467.76x = 42,540,569.09
  5. Step 5: Solve for x
    x = 42,540,569.09/6,467.76
  6. Step 6: Final answer
    x = 6,577.33

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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.