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Finding the Fourth Proportional to 13,609, 20,413.50 and 5,406.76

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Solution

The fourth proportional to 13,609, 20,413.50 and 5,406.76 is: 8,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609 : 20,413.50 = 5,406.76 : x
  2. Step 2: Convert to fraction form
    13,609/20,413.50 = 5,406.76/x
  3. Step 3: Cross multiply
    13,609x = 20,413.50 × 5,406.76
  4. Step 4: Simplify right side
    13,609x = 110,370,895.26
  5. Step 5: Solve for x
    x = 110,370,895.26/13,609
  6. Step 6: Final answer
    x = 8,110.14

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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.