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Finding the Fourth Proportional to 12,141.92, 16,755.76 and 6,836.76

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Solution

The fourth proportional to 12,141.92, 16,755.76 and 6,836.76 is: 9,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.92 : 16,755.76 = 6,836.76 : x
  2. Step 2: Convert to fraction form
    12,141.92/16,755.76 = 6,836.76/x
  3. Step 3: Cross multiply
    12,141.92x = 16,755.76 × 6,836.76
  4. Step 4: Simplify right side
    12,141.92x = 114,555,109.74
  5. Step 5: Solve for x
    x = 114,555,109.74/12,141.92
  6. Step 6: Final answer
    x = 9,434.68

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Half scale
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Double scale
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1.5x scale

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.