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Finding the Fourth Proportional to 12,496.74, 18,738.74 and 4,173.78

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Solution

The fourth proportional to 12,496.74, 18,738.74 and 4,173.78 is: 6,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.74 : 18,738.74 = 4,173.78 : x
  2. Step 2: Convert to fraction form
    12,496.74/18,738.74 = 4,173.78/x
  3. Step 3: Cross multiply
    12,496.74x = 18,738.74 × 4,173.78
  4. Step 4: Simplify right side
    12,496.74x = 78,211,378.24
  5. Step 5: Solve for x
    x = 78,211,378.24/12,496.74
  6. Step 6: Final answer
    x = 6,258.54

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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.