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Finding the Fourth Proportional to 11,811.68, 17,714.26 and 3,490.82

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Solution

The fourth proportional to 11,811.68, 17,714.26 and 3,490.82 is: 5,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.68 : 17,714.26 = 3,490.82 : x
  2. Step 2: Convert to fraction form
    11,811.68/17,714.26 = 3,490.82/x
  3. Step 3: Cross multiply
    11,811.68x = 17,714.26 × 3,490.82
  4. Step 4: Simplify right side
    11,811.68x = 61,837,293.09
  5. Step 5: Solve for x
    x = 61,837,293.09/11,811.68
  6. Step 6: Final answer
    x = 5,235.27

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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.