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Finding the Fourth Proportional to 16,814, 25,218.74 and 6,951.92

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Solution

The fourth proportional to 16,814, 25,218.74 and 6,951.92 is: 10,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814 : 25,218.74 = 6,951.92 : x
  2. Step 2: Convert to fraction form
    16,814/25,218.74 = 6,951.92/x
  3. Step 3: Cross multiply
    16,814x = 25,218.74 × 6,951.92
  4. Step 4: Simplify right side
    16,814x = 175,318,662.98
  5. Step 5: Solve for x
    x = 175,318,662.98/16,814
  6. Step 6: Final answer
    x = 10,426.95

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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.