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Finding the Fourth Proportional to 12,201.73, 16,833.23 and 8,215.92

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Solution

The fourth proportional to 12,201.73, 16,833.23 and 8,215.92 is: 11,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.73 : 16,833.23 = 8,215.92 : x
  2. Step 2: Convert to fraction form
    12,201.73/16,833.23 = 8,215.92/x
  3. Step 3: Cross multiply
    12,201.73x = 16,833.23 × 8,215.92
  4. Step 4: Simplify right side
    12,201.73x = 138,300,471.02
  5. Step 5: Solve for x
    x = 138,300,471.02/12,201.73
  6. Step 6: Final answer
    x = 11,334.50

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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.