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Finding the Fourth Proportional to 13,031.44, 17,982.32 and 7,366.68

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Solution

The fourth proportional to 13,031.44, 17,982.32 and 7,366.68 is: 10,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.44 : 17,982.32 = 7,366.68 : x
  2. Step 2: Convert to fraction form
    13,031.44/17,982.32 = 7,366.68/x
  3. Step 3: Cross multiply
    13,031.44x = 17,982.32 × 7,366.68
  4. Step 4: Simplify right side
    13,031.44x = 132,469,997.10
  5. Step 5: Solve for x
    x = 132,469,997.10/13,031.44
  6. Step 6: Final answer
    x = 10,165.42

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