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Finding the Fourth Proportional to 13,806.27, 19,050 and 8,771.31

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Solution

The fourth proportional to 13,806.27, 19,050 and 8,771.31 is: 12,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.27 : 19,050 = 8,771.31 : x
  2. Step 2: Convert to fraction form
    13,806.27/19,050 = 8,771.31/x
  3. Step 3: Cross multiply
    13,806.27x = 19,050 × 8,771.31
  4. Step 4: Simplify right side
    13,806.27x = 167,093,455.50
  5. Step 5: Solve for x
    x = 167,093,455.50/13,806.27
  6. Step 6: Final answer
    x = 12,102.72

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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.