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Finding the Fourth Proportional to 12,201.73, 16,832.20 and 7,717.93

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Solution

The fourth proportional to 12,201.73, 16,832.20 and 7,717.93 is: 10,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.73 : 16,832.20 = 7,717.93 : x
  2. Step 2: Convert to fraction form
    12,201.73/16,832.20 = 7,717.93/x
  3. Step 3: Cross multiply
    12,201.73x = 16,832.20 × 7,717.93
  4. Step 4: Simplify right side
    12,201.73x = 129,909,741.35
  5. Step 5: Solve for x
    x = 129,909,741.35/12,201.73
  6. Step 6: Final answer
    x = 10,646.83

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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.