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Finding the Fourth Proportional to 13,847.87, 20,776.67 and 8,647.67

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Solution

The fourth proportional to 13,847.87, 20,776.67 and 8,647.67 is: 12,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.87 : 20,776.67 = 8,647.67 : x
  2. Step 2: Convert to fraction form
    13,847.87/20,776.67 = 8,647.67/x
  3. Step 3: Cross multiply
    13,847.87x = 20,776.67 × 8,647.67
  4. Step 4: Simplify right side
    13,847.87x = 179,669,785.86
  5. Step 5: Solve for x
    x = 179,669,785.86/13,847.87
  6. Step 6: Final answer
    x = 12,974.54

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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.