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Finding the Fourth Proportional to 12,806.63, 19,212.78 and 3,923.19

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Solution

The fourth proportional to 12,806.63, 19,212.78 and 3,923.19 is: 5,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.63 : 19,212.78 = 3,923.19 : x
  2. Step 2: Convert to fraction form
    12,806.63/19,212.78 = 3,923.19/x
  3. Step 3: Cross multiply
    12,806.63x = 19,212.78 × 3,923.19
  4. Step 4: Simplify right side
    12,806.63x = 75,375,386.37
  5. Step 5: Solve for x
    x = 75,375,386.37/12,806.63
  6. Step 6: Final answer
    x = 5,885.66

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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.