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Finding the Fourth Proportional to 14,786.92, 20,406.90 and 8,499.16

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Solution

The fourth proportional to 14,786.92, 20,406.90 and 8,499.16 is: 11,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.92 : 20,406.90 = 8,499.16 : x
  2. Step 2: Convert to fraction form
    14,786.92/20,406.90 = 8,499.16/x
  3. Step 3: Cross multiply
    14,786.92x = 20,406.90 × 8,499.16
  4. Step 4: Simplify right side
    14,786.92x = 173,441,508.20
  5. Step 5: Solve for x
    x = 173,441,508.20/14,786.92
  6. Step 6: Final answer
    x = 11,729.39

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1.5x scale

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.