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Finding the Fourth Proportional to 14,739, 20,339.82 and 8,115

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Solution

The fourth proportional to 14,739, 20,339.82 and 8,115 is: 11,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,739 : 20,339.82 = 8,115 : x
  2. Step 2: Convert to fraction form
    14,739/20,339.82 = 8,115/x
  3. Step 3: Cross multiply
    14,739x = 20,339.82 × 8,115
  4. Step 4: Simplify right side
    14,739x = 165,057,639.30
  5. Step 5: Solve for x
    x = 165,057,639.30/14,739
  6. Step 6: Final answer
    x = 11,198.70

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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.