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Finding the Fourth Proportional to 11,713, 17,572.56 and 3,505

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Solution

The fourth proportional to 11,713, 17,572.56 and 3,505 is: 5,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713 : 17,572.56 = 3,505 : x
  2. Step 2: Convert to fraction form
    11,713/17,572.56 = 3,505/x
  3. Step 3: Cross multiply
    11,713x = 17,572.56 × 3,505
  4. Step 4: Simplify right side
    11,713x = 61,591,822.80
  5. Step 5: Solve for x
    x = 61,591,822.80/11,713
  6. Step 6: Final answer
    x = 5,258.42

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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.