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Finding the Fourth Proportional to 11,860, 17,790.96 and 3,652

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Solution

The fourth proportional to 11,860, 17,790.96 and 3,652 is: 5,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860 : 17,790.96 = 3,652 : x
  2. Step 2: Convert to fraction form
    11,860/17,790.96 = 3,652/x
  3. Step 3: Cross multiply
    11,860x = 17,790.96 × 3,652
  4. Step 4: Simplify right side
    11,860x = 64,972,585.92
  5. Step 5: Solve for x
    x = 64,972,585.92/11,860
  6. Step 6: Final answer
    x = 5,478.30

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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.