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Finding the Fourth Proportional to 9,910.91, 13,674.81 and 6,724.64

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Solution

The fourth proportional to 9,910.91, 13,674.81 and 6,724.64 is: 9,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.91 : 13,674.81 = 6,724.64 : x
  2. Step 2: Convert to fraction form
    9,910.91/13,674.81 = 6,724.64/x
  3. Step 3: Cross multiply
    9,910.91x = 13,674.81 × 6,724.64
  4. Step 4: Simplify right side
    9,910.91x = 91,958,174.32
  5. Step 5: Solve for x
    x = 91,958,174.32/9,910.91
  6. Step 6: Final answer
    x = 9,278.48

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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.