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Finding the Fourth Proportional to 19,954.27, 29,931.46 and 8,105.87

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Solution

The fourth proportional to 19,954.27, 29,931.46 and 8,105.87 is: 12,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,954.27 : 29,931.46 = 8,105.87 : x
  2. Step 2: Convert to fraction form
    19,954.27/29,931.46 = 8,105.87/x
  3. Step 3: Cross multiply
    19,954.27x = 29,931.46 × 8,105.87
  4. Step 4: Simplify right side
    19,954.27x = 242,620,353.75
  5. Step 5: Solve for x
    x = 242,620,353.75/19,954.27
  6. Step 6: Final answer
    x = 12,158.82

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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.