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Finding the Fourth Proportional to 14,762, 20,371.56 and 8,138

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Solution

The fourth proportional to 14,762, 20,371.56 and 8,138 is: 11,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762 : 20,371.56 = 8,138 : x
  2. Step 2: Convert to fraction form
    14,762/20,371.56 = 8,138/x
  3. Step 3: Cross multiply
    14,762x = 20,371.56 × 8,138
  4. Step 4: Simplify right side
    14,762x = 165,783,755.28
  5. Step 5: Solve for x
    x = 165,783,755.28/14,762
  6. Step 6: Final answer
    x = 11,230.44

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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.