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Finding the Fourth Proportional to 12,322, 18,493.08 and 8,631.64

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Solution

The fourth proportional to 12,322, 18,493.08 and 8,631.64 is: 12,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322 : 18,493.08 = 8,631.64 : x
  2. Step 2: Convert to fraction form
    12,322/18,493.08 = 8,631.64/x
  3. Step 3: Cross multiply
    12,322x = 18,493.08 × 8,631.64
  4. Step 4: Simplify right side
    12,322x = 159,625,609.05
  5. Step 5: Solve for x
    x = 159,625,609.05/12,322
  6. Step 6: Final answer
    x = 12,954.52

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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.