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Finding the Fourth Proportional to 11,759.77, 16,217.07 and 7,939.81

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Solution

The fourth proportional to 11,759.77, 16,217.07 and 7,939.81 is: 10,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.77 : 16,217.07 = 7,939.81 : x
  2. Step 2: Convert to fraction form
    11,759.77/16,217.07 = 7,939.81/x
  3. Step 3: Cross multiply
    11,759.77x = 16,217.07 × 7,939.81
  4. Step 4: Simplify right side
    11,759.77x = 128,760,454.56
  5. Step 5: Solve for x
    x = 128,760,454.56/11,759.77
  6. Step 6: Final answer
    x = 10,949.23

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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.