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Finding the Fourth Proportional to 12,448, 18,672 and 3,214

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Solution

The fourth proportional to 12,448, 18,672 and 3,214 is: 4,821

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448 : 18,672 = 3,214 : x
  2. Step 2: Convert to fraction form
    12,448/18,672 = 3,214/x
  3. Step 3: Cross multiply
    12,448x = 18,672 × 3,214
  4. Step 4: Simplify right side
    12,448x = 60,011,808
  5. Step 5: Solve for x
    x = 60,011,808/12,448
  6. Step 6: Final answer
    x = 4,821

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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.