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Finding the Fourth Proportional to 12,591.60, 18,865.80 and 8,206.80

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Solution

The fourth proportional to 12,591.60, 18,865.80 and 8,206.80 is: 12,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.60 : 18,865.80 = 8,206.80 : x
  2. Step 2: Convert to fraction form
    12,591.60/18,865.80 = 8,206.80/x
  3. Step 3: Cross multiply
    12,591.60x = 18,865.80 × 8,206.80
  4. Step 4: Simplify right side
    12,591.60x = 154,827,847.44
  5. Step 5: Solve for x
    x = 154,827,847.44/12,591.60
  6. Step 6: Final answer
    x = 12,296.12

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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.