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Finding the Fourth Proportional to 12,234.80, 16,878.24 and 8,257.20

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Solution

The fourth proportional to 12,234.80, 16,878.24 and 8,257.20 is: 11,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.80 : 16,878.24 = 8,257.20 : x
  2. Step 2: Convert to fraction form
    12,234.80/16,878.24 = 8,257.20/x
  3. Step 3: Cross multiply
    12,234.80x = 16,878.24 × 8,257.20
  4. Step 4: Simplify right side
    12,234.80x = 139,367,003.33
  5. Step 5: Solve for x
    x = 139,367,003.33/12,234.80
  6. Step 6: Final answer
    x = 11,391.03

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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.