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Finding the Fourth Proportional to 12,220.67, 16,838.48 and 8,234.87

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Solution

The fourth proportional to 12,220.67, 16,838.48 and 8,234.87 is: 11,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.67 : 16,838.48 = 8,234.87 : x
  2. Step 2: Convert to fraction form
    12,220.67/16,838.48 = 8,234.87/x
  3. Step 3: Cross multiply
    12,220.67x = 16,838.48 × 8,234.87
  4. Step 4: Simplify right side
    12,220.67x = 138,662,630.19
  5. Step 5: Solve for x
    x = 138,662,630.19/12,220.67
  6. Step 6: Final answer
    x = 11,346.56

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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.