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Finding the Fourth Proportional to 30,413.98, 41,947.72 and 20,339.20

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Solution

The fourth proportional to 30,413.98, 41,947.72 and 20,339.20 is: 28,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.98 : 41,947.72 = 20,339.20 : x
  2. Step 2: Convert to fraction form
    30,413.98/41,947.72 = 20,339.20/x
  3. Step 3: Cross multiply
    30,413.98x = 41,947.72 × 20,339.20
  4. Step 4: Simplify right side
    30,413.98x = 853,183,182.62
  5. Step 5: Solve for x
    x = 853,183,182.62/30,413.98
  6. Step 6: Final answer
    x = 28,052.33

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1.5x scale

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.