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Finding the Fourth Proportional to 9,109.80, 13,657.41 and 8,380.80

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Solution

The fourth proportional to 9,109.80, 13,657.41 and 8,380.80 is: 12,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.80 : 13,657.41 = 8,380.80 : x
  2. Step 2: Convert to fraction form
    9,109.80/13,657.41 = 8,380.80/x
  3. Step 3: Cross multiply
    9,109.80x = 13,657.41 × 8,380.80
  4. Step 4: Simplify right side
    9,109.80x = 114,460,021.73
  5. Step 5: Solve for x
    x = 114,460,021.73/9,109.80
  6. Step 6: Final answer
    x = 12,564.49

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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.