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Finding the Fourth Proportional to 7,741.05, 11,601.86 and 7,118.97

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Solution

The fourth proportional to 7,741.05, 11,601.86 and 7,118.97 is: 10,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.05 : 11,601.86 = 7,118.97 : x
  2. Step 2: Convert to fraction form
    7,741.05/11,601.86 = 7,118.97/x
  3. Step 3: Cross multiply
    7,741.05x = 11,601.86 × 7,118.97
  4. Step 4: Simplify right side
    7,741.05x = 82,593,257.69
  5. Step 5: Solve for x
    x = 82,593,257.69/7,741.05
  6. Step 6: Final answer
    x = 10,669.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.