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Finding the Fourth Proportional to 11,805.70, 16,286.59 and 7,976.10

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Solution

The fourth proportional to 11,805.70, 16,286.59 and 7,976.10 is: 11,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.70 : 16,286.59 = 7,976.10 : x
  2. Step 2: Convert to fraction form
    11,805.70/16,286.59 = 7,976.10/x
  3. Step 3: Cross multiply
    11,805.70x = 16,286.59 × 7,976.10
  4. Step 4: Simplify right side
    11,805.70x = 129,903,563.98
  5. Step 5: Solve for x
    x = 129,903,563.98/11,805.70
  6. Step 6: Final answer
    x = 11,003.47

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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.