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Finding the Fourth Proportional to 12,276.38, 16,941.77 and 6,687.74

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Solution

The fourth proportional to 12,276.38, 16,941.77 and 6,687.74 is: 9,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.38 : 16,941.77 = 6,687.74 : x
  2. Step 2: Convert to fraction form
    12,276.38/16,941.77 = 6,687.74/x
  3. Step 3: Cross multiply
    12,276.38x = 16,941.77 × 6,687.74
  4. Step 4: Simplify right side
    12,276.38x = 113,302,034.75
  5. Step 5: Solve for x
    x = 113,302,034.75/12,276.38
  6. Step 6: Final answer
    x = 9,229.27

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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.