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Finding the Fourth Proportional to 12,183.98, 18,250.46 and 7,779

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Solution

The fourth proportional to 12,183.98, 18,250.46 and 7,779 is: 11,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.98 : 18,250.46 = 7,779 : x
  2. Step 2: Convert to fraction form
    12,183.98/18,250.46 = 7,779/x
  3. Step 3: Cross multiply
    12,183.98x = 18,250.46 × 7,779
  4. Step 4: Simplify right side
    12,183.98x = 141,970,289.45
  5. Step 5: Solve for x
    x = 141,970,289.45/12,183.98
  6. Step 6: Final answer
    x = 11,652.21

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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.