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Finding the Fourth Proportional to 6,661.82, 9,991.90 and 1,731.05

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Solution

The fourth proportional to 6,661.82, 9,991.90 and 1,731.05 is: 2,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.82 : 9,991.90 = 1,731.05 : x
  2. Step 2: Convert to fraction form
    6,661.82/9,991.90 = 1,731.05/x
  3. Step 3: Cross multiply
    6,661.82x = 9,991.90 × 1,731.05
  4. Step 4: Simplify right side
    6,661.82x = 17,296,469.84
  5. Step 5: Solve for x
    x = 17,296,469.84/6,661.82
  6. Step 6: Final answer
    x = 2,596.36

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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.