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Finding the Fourth Proportional to 11,966, 17,958.32 and 4,575.70

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Solution

The fourth proportional to 11,966, 17,958.32 and 4,575.70 is: 6,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966 : 17,958.32 = 4,575.70 : x
  2. Step 2: Convert to fraction form
    11,966/17,958.32 = 4,575.70/x
  3. Step 3: Cross multiply
    11,966x = 17,958.32 × 4,575.70
  4. Step 4: Simplify right side
    11,966x = 82,171,884.82
  5. Step 5: Solve for x
    x = 82,171,884.82/11,966
  6. Step 6: Final answer
    x = 6,867.11

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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.