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Finding the Fourth Proportional to 20,501.80, 30,768.99 and 9,413.62

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Solution

The fourth proportional to 20,501.80, 30,768.99 and 9,413.62 is: 14,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501.80 : 30,768.99 = 9,413.62 : x
  2. Step 2: Convert to fraction form
    20,501.80/30,768.99 = 9,413.62/x
  3. Step 3: Cross multiply
    20,501.80x = 30,768.99 × 9,413.62
  4. Step 4: Simplify right side
    20,501.80x = 289,647,579.64
  5. Step 5: Solve for x
    x = 289,647,579.64/20,501.80
  6. Step 6: Final answer
    x = 14,127.91

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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.