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Finding the Fourth Proportional to 14,738, 20,338.46 and 8,114

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Solution

The fourth proportional to 14,738, 20,338.46 and 8,114 is: 11,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738 : 20,338.46 = 8,114 : x
  2. Step 2: Convert to fraction form
    14,738/20,338.46 = 8,114/x
  3. Step 3: Cross multiply
    14,738x = 20,338.46 × 8,114
  4. Step 4: Simplify right side
    14,738x = 165,026,264.44
  5. Step 5: Solve for x
    x = 165,026,264.44/14,738
  6. Step 6: Final answer
    x = 11,197.33

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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.