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Finding the Fourth Proportional to 14,651.78, 20,219.03 and 8,601.92

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Solution

The fourth proportional to 14,651.78, 20,219.03 and 8,601.92 is: 11,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.78 : 20,219.03 = 8,601.92 : x
  2. Step 2: Convert to fraction form
    14,651.78/20,219.03 = 8,601.92/x
  3. Step 3: Cross multiply
    14,651.78x = 20,219.03 × 8,601.92
  4. Step 4: Simplify right side
    14,651.78x = 173,922,334.43
  5. Step 5: Solve for x
    x = 173,922,334.43/14,651.78
  6. Step 6: Final answer
    x = 11,870.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.