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Finding the Fourth Proportional to 13,806.15, 20,707.09 and 7,569.25

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Solution

The fourth proportional to 13,806.15, 20,707.09 and 7,569.25 is: 11,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.15 : 20,707.09 = 7,569.25 : x
  2. Step 2: Convert to fraction form
    13,806.15/20,707.09 = 7,569.25/x
  3. Step 3: Cross multiply
    13,806.15x = 20,707.09 × 7,569.25
  4. Step 4: Simplify right side
    13,806.15x = 156,737,112.87
  5. Step 5: Solve for x
    x = 156,737,112.87/13,806.15
  6. Step 6: Final answer
    x = 11,352.71

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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.