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Finding the Fourth Proportional to 11,602.78, 17,404.56 and 3,811.36

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Solution

The fourth proportional to 11,602.78, 17,404.56 and 3,811.36 is: 5,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.78 : 17,404.56 = 3,811.36 : x
  2. Step 2: Convert to fraction form
    11,602.78/17,404.56 = 3,811.36/x
  3. Step 3: Cross multiply
    11,602.78x = 17,404.56 × 3,811.36
  4. Step 4: Simplify right side
    11,602.78x = 66,335,043.80
  5. Step 5: Solve for x
    x = 66,335,043.80/11,602.78
  6. Step 6: Final answer
    x = 5,717.17

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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.