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Finding the Fourth Proportional to 12,646.73, 18,971.21 and 3,286.71

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Solution

The fourth proportional to 12,646.73, 18,971.21 and 3,286.71 is: 4,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.73 : 18,971.21 = 3,286.71 : x
  2. Step 2: Convert to fraction form
    12,646.73/18,971.21 = 3,286.71/x
  3. Step 3: Cross multiply
    12,646.73x = 18,971.21 × 3,286.71
  4. Step 4: Simplify right side
    12,646.73x = 62,352,873.84
  5. Step 5: Solve for x
    x = 62,352,873.84/12,646.73
  6. Step 6: Final answer
    x = 4,930.35

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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.