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Finding the Fourth Proportional to 12,928, 19,392 and 4,163.80

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Solution

The fourth proportional to 12,928, 19,392 and 4,163.80 is: 6,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928 : 19,392 = 4,163.80 : x
  2. Step 2: Convert to fraction form
    12,928/19,392 = 4,163.80/x
  3. Step 3: Cross multiply
    12,928x = 19,392 × 4,163.80
  4. Step 4: Simplify right side
    12,928x = 80,744,409.60
  5. Step 5: Solve for x
    x = 80,744,409.60/12,928
  6. Step 6: Final answer
    x = 6,245.70

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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.