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Finding the Fourth Proportional to 13,414.34, 20,031.17 and 10,953.97

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Solution

The fourth proportional to 13,414.34, 20,031.17 and 10,953.97 is: 16,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.34 : 20,031.17 = 10,953.97 : x
  2. Step 2: Convert to fraction form
    13,414.34/20,031.17 = 10,953.97/x
  3. Step 3: Cross multiply
    13,414.34x = 20,031.17 × 10,953.97
  4. Step 4: Simplify right side
    13,414.34x = 219,420,730.40
  5. Step 5: Solve for x
    x = 219,420,730.40/13,414.34
  6. Step 6: Final answer
    x = 16,357.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.