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Finding the Fourth Proportional to 11,906.81, 16,420 and 7,125.94

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Solution

The fourth proportional to 11,906.81, 16,420 and 7,125.94 is: 9,826.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.81 : 16,420 = 7,125.94 : x
  2. Step 2: Convert to fraction form
    11,906.81/16,420 = 7,125.94/x
  3. Step 3: Cross multiply
    11,906.81x = 16,420 × 7,125.94
  4. Step 4: Simplify right side
    11,906.81x = 117,007,934.80
  5. Step 5: Solve for x
    x = 117,007,934.80/11,906.81
  6. Step 6: Final answer
    x = 9,826.98

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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.