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Finding the Fourth Proportional to 16,920, 25,381.20 and 5,231.70

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Solution

The fourth proportional to 16,920, 25,381.20 and 5,231.70 is: 7,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,920 : 25,381.20 = 5,231.70 : x
  2. Step 2: Convert to fraction form
    16,920/25,381.20 = 5,231.70/x
  3. Step 3: Cross multiply
    16,920x = 25,381.20 × 5,231.70
  4. Step 4: Simplify right side
    16,920x = 132,786,824.04
  5. Step 5: Solve for x
    x = 132,786,824.04/16,920
  6. Step 6: Final answer
    x = 7,847.92

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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.