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Finding the Fourth Proportional to 11,691, 17,539.38 and 3,483

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Solution

The fourth proportional to 11,691, 17,539.38 and 3,483 is: 5,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691 : 17,539.38 = 3,483 : x
  2. Step 2: Convert to fraction form
    11,691/17,539.38 = 3,483/x
  3. Step 3: Cross multiply
    11,691x = 17,539.38 × 3,483
  4. Step 4: Simplify right side
    11,691x = 61,089,660.54
  5. Step 5: Solve for x
    x = 61,089,660.54/11,691
  6. Step 6: Final answer
    x = 5,225.36

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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.