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Finding the Fourth Proportional to 12,214, 16,855.70 and 6,908.71

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Solution

The fourth proportional to 12,214, 16,855.70 and 6,908.71 is: 9,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214 : 16,855.70 = 6,908.71 : x
  2. Step 2: Convert to fraction form
    12,214/16,855.70 = 6,908.71/x
  3. Step 3: Cross multiply
    12,214x = 16,855.70 × 6,908.71
  4. Step 4: Simplify right side
    12,214x = 116,451,143.15
  5. Step 5: Solve for x
    x = 116,451,143.15/12,214
  6. Step 6: Final answer
    x = 9,534.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.