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Finding the Fourth Proportional to 6,467.20, 8,924 and 3,634

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Solution

The fourth proportional to 6,467.20, 8,924 and 3,634 is: 5,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.20 : 8,924 = 3,634 : x
  2. Step 2: Convert to fraction form
    6,467.20/8,924 = 3,634/x
  3. Step 3: Cross multiply
    6,467.20x = 8,924 × 3,634
  4. Step 4: Simplify right side
    6,467.20x = 32,429,816
  5. Step 5: Solve for x
    x = 32,429,816/6,467.20
  6. Step 6: Final answer
    x = 5,014.51

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Why These Related Problems?

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