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Finding the Fourth Proportional to 12,109.80, 18,164.70 and 11,380.20

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Solution

The fourth proportional to 12,109.80, 18,164.70 and 11,380.20 is: 17,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.80 : 18,164.70 = 11,380.20 : x
  2. Step 2: Convert to fraction form
    12,109.80/18,164.70 = 11,380.20/x
  3. Step 3: Cross multiply
    12,109.80x = 18,164.70 × 11,380.20
  4. Step 4: Simplify right side
    12,109.80x = 206,717,918.94
  5. Step 5: Solve for x
    x = 206,717,918.94/12,109.80
  6. Step 6: Final answer
    x = 17,070.30

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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.