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Finding the Fourth Proportional to 12,189.40, 16,821.41 and 6,600.40

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Solution

The fourth proportional to 12,189.40, 16,821.41 and 6,600.40 is: 9,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.40 : 16,821.41 = 6,600.40 : x
  2. Step 2: Convert to fraction form
    12,189.40/16,821.41 = 6,600.40/x
  3. Step 3: Cross multiply
    12,189.40x = 16,821.41 × 6,600.40
  4. Step 4: Simplify right side
    12,189.40x = 111,028,034.56
  5. Step 5: Solve for x
    x = 111,028,034.56/12,189.40
  6. Step 6: Final answer
    x = 9,108.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.