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Finding the Fourth Proportional to 20,614, 28,447.32 and 11,661.31

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Solution

The fourth proportional to 20,614, 28,447.32 and 11,661.31 is: 16,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614 : 28,447.32 = 11,661.31 : x
  2. Step 2: Convert to fraction form
    20,614/28,447.32 = 11,661.31/x
  3. Step 3: Cross multiply
    20,614x = 28,447.32 × 11,661.31
  4. Step 4: Simplify right side
    20,614x = 331,733,017.19
  5. Step 5: Solve for x
    x = 331,733,017.19/20,614
  6. Step 6: Final answer
    x = 16,092.61

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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.