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Finding the Fourth Proportional to 12,201.54, 16,838.31 and 6,824.56

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Solution

The fourth proportional to 12,201.54, 16,838.31 and 6,824.56 is: 9,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.54 : 16,838.31 = 6,824.56 : x
  2. Step 2: Convert to fraction form
    12,201.54/16,838.31 = 6,824.56/x
  3. Step 3: Cross multiply
    12,201.54x = 16,838.31 × 6,824.56
  4. Step 4: Simplify right side
    12,201.54x = 114,914,056.89
  5. Step 5: Solve for x
    x = 114,914,056.89/12,201.54
  6. Step 6: Final answer
    x = 9,418.00

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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.