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Finding the Fourth Proportional to 11,960, 17,944.32 and 3,752

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Solution

The fourth proportional to 11,960, 17,944.32 and 3,752 is: 5,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960 : 17,944.32 = 3,752 : x
  2. Step 2: Convert to fraction form
    11,960/17,944.32 = 3,752/x
  3. Step 3: Cross multiply
    11,960x = 17,944.32 × 3,752
  4. Step 4: Simplify right side
    11,960x = 67,327,088.64
  5. Step 5: Solve for x
    x = 67,327,088.64/11,960
  6. Step 6: Final answer
    x = 5,629.36

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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.