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Finding the Fourth Proportional to 21,077.42, 29,086.48 and 11,517.09

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Solution

The fourth proportional to 21,077.42, 29,086.48 and 11,517.09 is: 15,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.42 : 29,086.48 = 11,517.09 : x
  2. Step 2: Convert to fraction form
    21,077.42/29,086.48 = 11,517.09/x
  3. Step 3: Cross multiply
    21,077.42x = 29,086.48 × 11,517.09
  4. Step 4: Simplify right side
    21,077.42x = 334,991,550.36
  5. Step 5: Solve for x
    x = 334,991,550.36/21,077.42
  6. Step 6: Final answer
    x = 15,893.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.