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Finding the Fourth Proportional to 7,134.82, 9,846.10 and 3,991

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Solution

The fourth proportional to 7,134.82, 9,846.10 and 3,991 is: 5,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.82 : 9,846.10 = 3,991 : x
  2. Step 2: Convert to fraction form
    7,134.82/9,846.10 = 3,991/x
  3. Step 3: Cross multiply
    7,134.82x = 9,846.10 × 3,991
  4. Step 4: Simplify right side
    7,134.82x = 39,295,785.10
  5. Step 5: Solve for x
    x = 39,295,785.10/7,134.82
  6. Step 6: Final answer
    x = 5,507.61

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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.