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Finding the Fourth Proportional to 11,881.11, 16,391.92 and 6,845.20

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Solution

The fourth proportional to 11,881.11, 16,391.92 and 6,845.20 is: 9,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.11 : 16,391.92 = 6,845.20 : x
  2. Step 2: Convert to fraction form
    11,881.11/16,391.92 = 6,845.20/x
  3. Step 3: Cross multiply
    11,881.11x = 16,391.92 × 6,845.20
  4. Step 4: Simplify right side
    11,881.11x = 112,205,912.69
  5. Step 5: Solve for x
    x = 112,205,912.69/11,881.11
  6. Step 6: Final answer
    x = 9,444.06

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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.