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Finding the Fourth Proportional to 12,257.56, 16,912.48 and 7,221.39

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Solution

The fourth proportional to 12,257.56, 16,912.48 and 7,221.39 is: 9,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.56 : 16,912.48 = 7,221.39 : x
  2. Step 2: Convert to fraction form
    12,257.56/16,912.48 = 7,221.39/x
  3. Step 3: Cross multiply
    12,257.56x = 16,912.48 × 7,221.39
  4. Step 4: Simplify right side
    12,257.56x = 122,131,613.95
  5. Step 5: Solve for x
    x = 122,131,613.95/12,257.56
  6. Step 6: Final answer
    x = 9,963.78

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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.