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Finding the Fourth Proportional to 12,225.44, 16,885 and 8,239.68

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Solution

The fourth proportional to 12,225.44, 16,885 and 8,239.68 is: 11,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.44 : 16,885 = 8,239.68 : x
  2. Step 2: Convert to fraction form
    12,225.44/16,885 = 8,239.68/x
  3. Step 3: Cross multiply
    12,225.44x = 16,885 × 8,239.68
  4. Step 4: Simplify right side
    12,225.44x = 139,126,996.80
  5. Step 5: Solve for x
    x = 139,126,996.80/12,225.44
  6. Step 6: Final answer
    x = 11,380.12

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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.