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Finding the Fourth Proportional to 11,906.55, 16,431.03 and 6,601.32

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Solution

The fourth proportional to 11,906.55, 16,431.03 and 6,601.32 is: 9,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.55 : 16,431.03 = 6,601.32 : x
  2. Step 2: Convert to fraction form
    11,906.55/16,431.03 = 6,601.32/x
  3. Step 3: Cross multiply
    11,906.55x = 16,431.03 × 6,601.32
  4. Step 4: Simplify right side
    11,906.55x = 108,466,486.96
  5. Step 5: Solve for x
    x = 108,466,486.96/11,906.55
  6. Step 6: Final answer
    x = 9,109.82

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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.