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Finding the Fourth Proportional to 20,537.76, 30,769.60 and 9,453.76

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Solution

The fourth proportional to 20,537.76, 30,769.60 and 9,453.76 is: 14,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.76 : 30,769.60 = 9,453.76 : x
  2. Step 2: Convert to fraction form
    20,537.76/30,769.60 = 9,453.76/x
  3. Step 3: Cross multiply
    20,537.76x = 30,769.60 × 9,453.76
  4. Step 4: Simplify right side
    20,537.76x = 290,888,413.70
  5. Step 5: Solve for x
    x = 290,888,413.70/20,537.76
  6. Step 6: Final answer
    x = 14,163.59

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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.