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Finding the Fourth Proportional to 20,505.23, 30,733.95 and 9,413.09

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Solution

The fourth proportional to 20,505.23, 30,733.95 and 9,413.09 is: 14,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.23 : 30,733.95 = 9,413.09 : x
  2. Step 2: Convert to fraction form
    20,505.23/30,733.95 = 9,413.09/x
  3. Step 3: Cross multiply
    20,505.23x = 30,733.95 × 9,413.09
  4. Step 4: Simplify right side
    20,505.23x = 289,301,437.41
  5. Step 5: Solve for x
    x = 289,301,437.41/20,505.23
  6. Step 6: Final answer
    x = 14,108.67

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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.