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Finding the Fourth Proportional to 12,214, 18,321.12 and 2,980

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Solution

The fourth proportional to 12,214, 18,321.12 and 2,980 is: 4,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214 : 18,321.12 = 2,980 : x
  2. Step 2: Convert to fraction form
    12,214/18,321.12 = 2,980/x
  3. Step 3: Cross multiply
    12,214x = 18,321.12 × 2,980
  4. Step 4: Simplify right side
    12,214x = 54,596,937.60
  5. Step 5: Solve for x
    x = 54,596,937.60/12,214
  6. Step 6: Final answer
    x = 4,470.03

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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.