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Finding the Fourth Proportional to 16,812, 25,215.74 and 6,949.92

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Solution

The fourth proportional to 16,812, 25,215.74 and 6,949.92 is: 10,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,812 : 25,215.74 = 6,949.92 : x
  2. Step 2: Convert to fraction form
    16,812/25,215.74 = 6,949.92/x
  3. Step 3: Cross multiply
    16,812x = 25,215.74 × 6,949.92
  4. Step 4: Simplify right side
    16,812x = 175,247,375.74
  5. Step 5: Solve for x
    x = 175,247,375.74/16,812
  6. Step 6: Final answer
    x = 10,423.95

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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.