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Finding the Fourth Proportional to 16,216.38, 22,378.64 and 8,764.38

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Solution

The fourth proportional to 16,216.38, 22,378.64 and 8,764.38 is: 12,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.38 : 22,378.64 = 8,764.38 : x
  2. Step 2: Convert to fraction form
    16,216.38/22,378.64 = 8,764.38/x
  3. Step 3: Cross multiply
    16,216.38x = 22,378.64 × 8,764.38
  4. Step 4: Simplify right side
    16,216.38x = 196,134,861.02
  5. Step 5: Solve for x
    x = 196,134,861.02/16,216.38
  6. Step 6: Final answer
    x = 12,094.86

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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.