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Finding the Fourth Proportional to 12,557.20, 18,835.80 and 8,183.20

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Solution

The fourth proportional to 12,557.20, 18,835.80 and 8,183.20 is: 12,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.20 : 18,835.80 = 8,183.20 : x
  2. Step 2: Convert to fraction form
    12,557.20/18,835.80 = 8,183.20/x
  3. Step 3: Cross multiply
    12,557.20x = 18,835.80 × 8,183.20
  4. Step 4: Simplify right side
    12,557.20x = 154,137,118.56
  5. Step 5: Solve for x
    x = 154,137,118.56/12,557.20
  6. Step 6: Final answer
    x = 12,274.80

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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.