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Finding the Fourth Proportional to 14,750, 20,355 and 8,126

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Solution

The fourth proportional to 14,750, 20,355 and 8,126 is: 11,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750 : 20,355 = 8,126 : x
  2. Step 2: Convert to fraction form
    14,750/20,355 = 8,126/x
  3. Step 3: Cross multiply
    14,750x = 20,355 × 8,126
  4. Step 4: Simplify right side
    14,750x = 165,404,730
  5. Step 5: Solve for x
    x = 165,404,730/14,750
  6. Step 6: Final answer
    x = 11,213.88

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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.