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Finding the Fourth Proportional to 20,453.69, 30,680.91 and 6,413.40

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Solution

The fourth proportional to 20,453.69, 30,680.91 and 6,413.40 is: 9,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,453.69 : 30,680.91 = 6,413.40 : x
  2. Step 2: Convert to fraction form
    20,453.69/30,680.91 = 6,413.40/x
  3. Step 3: Cross multiply
    20,453.69x = 30,680.91 × 6,413.40
  4. Step 4: Simplify right side
    20,453.69x = 196,768,948.19
  5. Step 5: Solve for x
    x = 196,768,948.19/20,453.69
  6. Step 6: Final answer
    x = 9,620.22

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1.5x scale

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.