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Finding the Fourth Proportional to 20,498.01, 30,709.94 and 9,413.97

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Solution

The fourth proportional to 20,498.01, 30,709.94 and 9,413.97 is: 14,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.01 : 30,709.94 = 9,413.97 : x
  2. Step 2: Convert to fraction form
    20,498.01/30,709.94 = 9,413.97/x
  3. Step 3: Cross multiply
    20,498.01x = 30,709.94 × 9,413.97
  4. Step 4: Simplify right side
    20,498.01x = 289,102,406.79
  5. Step 5: Solve for x
    x = 289,102,406.79/20,498.01
  6. Step 6: Final answer
    x = 14,103.93

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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.