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Finding the Fourth Proportional to 12,313, 18,469.66 and 4,105

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Solution

The fourth proportional to 12,313, 18,469.66 and 4,105 is: 6,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313 : 18,469.66 = 4,105 : x
  2. Step 2: Convert to fraction form
    12,313/18,469.66 = 4,105/x
  3. Step 3: Cross multiply
    12,313x = 18,469.66 × 4,105
  4. Step 4: Simplify right side
    12,313x = 75,817,954.30
  5. Step 5: Solve for x
    x = 75,817,954.30/12,313
  6. Step 6: Final answer
    x = 6,157.55

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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.