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Finding the Fourth Proportional to 12,223, 16,867.76 and 6,634

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Solution

The fourth proportional to 12,223, 16,867.76 and 6,634 is: 9,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223 : 16,867.76 = 6,634 : x
  2. Step 2: Convert to fraction form
    12,223/16,867.76 = 6,634/x
  3. Step 3: Cross multiply
    12,223x = 16,867.76 × 6,634
  4. Step 4: Simplify right side
    12,223x = 111,900,719.84
  5. Step 5: Solve for x
    x = 111,900,719.84/12,223
  6. Step 6: Final answer
    x = 9,154.93

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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.