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Finding the Fourth Proportional to 7,644, 11,467.92 and 2,172

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Solution

The fourth proportional to 7,644, 11,467.92 and 2,172 is: 3,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644 : 11,467.92 = 2,172 : x
  2. Step 2: Convert to fraction form
    7,644/11,467.92 = 2,172/x
  3. Step 3: Cross multiply
    7,644x = 11,467.92 × 2,172
  4. Step 4: Simplify right side
    7,644x = 24,908,322.24
  5. Step 5: Solve for x
    x = 24,908,322.24/7,644
  6. Step 6: Final answer
    x = 3,258.55

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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.