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Finding the Fourth Proportional to 11,771.61, 17,657.37 and 5,531.61

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Solution

The fourth proportional to 11,771.61, 17,657.37 and 5,531.61 is: 8,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.61 : 17,657.37 = 5,531.61 : x
  2. Step 2: Convert to fraction form
    11,771.61/17,657.37 = 5,531.61/x
  3. Step 3: Cross multiply
    11,771.61x = 17,657.37 × 5,531.61
  4. Step 4: Simplify right side
    11,771.61x = 97,673,684.47
  5. Step 5: Solve for x
    x = 97,673,684.47/11,771.61
  6. Step 6: Final answer
    x = 8,297.39

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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.