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Finding the Fourth Proportional to 12,422, 18,636.60 and 4,214

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Solution

The fourth proportional to 12,422, 18,636.60 and 4,214 is: 6,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422 : 18,636.60 = 4,214 : x
  2. Step 2: Convert to fraction form
    12,422/18,636.60 = 4,214/x
  3. Step 3: Cross multiply
    12,422x = 18,636.60 × 4,214
  4. Step 4: Simplify right side
    12,422x = 78,534,632.40
  5. Step 5: Solve for x
    x = 78,534,632.40/12,422
  6. Step 6: Final answer
    x = 6,322.22

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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.