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Finding the Fourth Proportional to 13,953.76, 20,930.67 and 3,423.82

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Solution

The fourth proportional to 13,953.76, 20,930.67 and 3,423.82 is: 5,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.76 : 20,930.67 = 3,423.82 : x
  2. Step 2: Convert to fraction form
    13,953.76/20,930.67 = 3,423.82/x
  3. Step 3: Cross multiply
    13,953.76x = 20,930.67 × 3,423.82
  4. Step 4: Simplify right side
    13,953.76x = 71,662,846.56
  5. Step 5: Solve for x
    x = 71,662,846.56/13,953.76
  6. Step 6: Final answer
    x = 5,135.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.