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Finding the Fourth Proportional to 8,126, 11,213.92 and 4,400

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Solution

The fourth proportional to 8,126, 11,213.92 and 4,400 is: 6,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126 : 11,213.92 = 4,400 : x
  2. Step 2: Convert to fraction form
    8,126/11,213.92 = 4,400/x
  3. Step 3: Cross multiply
    8,126x = 11,213.92 × 4,400
  4. Step 4: Simplify right side
    8,126x = 49,341,248
  5. Step 5: Solve for x
    x = 49,341,248/8,126
  6. Step 6: Final answer
    x = 6,072.02

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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.