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Finding the Fourth Proportional to 10,974, 16,461.20 and 3,578.43

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Solution

The fourth proportional to 10,974, 16,461.20 and 3,578.43 is: 5,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974 : 16,461.20 = 3,578.43 : x
  2. Step 2: Convert to fraction form
    10,974/16,461.20 = 3,578.43/x
  3. Step 3: Cross multiply
    10,974x = 16,461.20 × 3,578.43
  4. Step 4: Simplify right side
    10,974x = 58,905,234.02
  5. Step 5: Solve for x
    x = 58,905,234.02/10,974
  6. Step 6: Final answer
    x = 5,367.71

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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.