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Finding the Fourth Proportional to 13,691.21, 18,894 and 8,029.31

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Solution

The fourth proportional to 13,691.21, 18,894 and 8,029.31 is: 11,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.21 : 18,894 = 8,029.31 : x
  2. Step 2: Convert to fraction form
    13,691.21/18,894 = 8,029.31/x
  3. Step 3: Cross multiply
    13,691.21x = 18,894 × 8,029.31
  4. Step 4: Simplify right side
    13,691.21x = 151,705,688.67
  5. Step 5: Solve for x
    x = 151,705,688.67/13,691.21
  6. Step 6: Final answer
    x = 11,080.52

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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.