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Finding the Fourth Proportional to 12,165.50, 16,790 and 7,131.70

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Solution

The fourth proportional to 12,165.50, 16,790 and 7,131.70 is: 9,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.50 : 16,790 = 7,131.70 : x
  2. Step 2: Convert to fraction form
    12,165.50/16,790 = 7,131.70/x
  3. Step 3: Cross multiply
    12,165.50x = 16,790 × 7,131.70
  4. Step 4: Simplify right side
    12,165.50x = 119,741,243
  5. Step 5: Solve for x
    x = 119,741,243/12,165.50
  6. Step 6: Final answer
    x = 9,842.69

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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.