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Finding the Fourth Proportional to 11,811.78, 17,717.64 and 3,603.78

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Solution

The fourth proportional to 11,811.78, 17,717.64 and 3,603.78 is: 5,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.78 : 17,717.64 = 3,603.78 : x
  2. Step 2: Convert to fraction form
    11,811.78/17,717.64 = 3,603.78/x
  3. Step 3: Cross multiply
    11,811.78x = 17,717.64 × 3,603.78
  4. Step 4: Simplify right side
    11,811.78x = 63,850,476.68
  5. Step 5: Solve for x
    x = 63,850,476.68/11,811.78
  6. Step 6: Final answer
    x = 5,405.66

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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.