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Finding the Fourth Proportional to 13,847.75, 20,776.48 and 8,647.55

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Solution

The fourth proportional to 13,847.75, 20,776.48 and 8,647.55 is: 12,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.75 : 20,776.48 = 8,647.55 : x
  2. Step 2: Convert to fraction form
    13,847.75/20,776.48 = 8,647.55/x
  3. Step 3: Cross multiply
    13,847.75x = 20,776.48 × 8,647.55
  4. Step 4: Simplify right side
    13,847.75x = 179,665,649.62
  5. Step 5: Solve for x
    x = 179,665,649.62/13,847.75
  6. Step 6: Final answer
    x = 12,974.36

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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.