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Finding the Fourth Proportional to 11,906.55, 17,859.81 and 3,141.54

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Solution

The fourth proportional to 11,906.55, 17,859.81 and 3,141.54 is: 4,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.55 : 17,859.81 = 3,141.54 : x
  2. Step 2: Convert to fraction form
    11,906.55/17,859.81 = 3,141.54/x
  3. Step 3: Cross multiply
    11,906.55x = 17,859.81 × 3,141.54
  4. Step 4: Simplify right side
    11,906.55x = 56,107,307.51
  5. Step 5: Solve for x
    x = 56,107,307.51/11,906.55
  6. Step 6: Final answer
    x = 4,712.31

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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.