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Finding the Fourth Proportional to 12,190.60, 16,827.78 and 8,000.20

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Solution

The fourth proportional to 12,190.60, 16,827.78 and 8,000.20 is: 11,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.60 : 16,827.78 = 8,000.20 : x
  2. Step 2: Convert to fraction form
    12,190.60/16,827.78 = 8,000.20/x
  3. Step 3: Cross multiply
    12,190.60x = 16,827.78 × 8,000.20
  4. Step 4: Simplify right side
    12,190.60x = 134,625,605.56
  5. Step 5: Solve for x
    x = 134,625,605.56/12,190.60
  6. Step 6: Final answer
    x = 11,043.39

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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.