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Finding the Fourth Proportional to 11,797.28, 16,278 and 7,079.84

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Solution

The fourth proportional to 11,797.28, 16,278 and 7,079.84 is: 9,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.28 : 16,278 = 7,079.84 : x
  2. Step 2: Convert to fraction form
    11,797.28/16,278 = 7,079.84/x
  3. Step 3: Cross multiply
    11,797.28x = 16,278 × 7,079.84
  4. Step 4: Simplify right side
    11,797.28x = 115,245,635.52
  5. Step 5: Solve for x
    x = 115,245,635.52/11,797.28
  6. Step 6: Final answer
    x = 9,768.83

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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.