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Finding the Fourth Proportional to 11,696.76, 16,140.13 and 6,660.99

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Solution

The fourth proportional to 11,696.76, 16,140.13 and 6,660.99 is: 9,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.76 : 16,140.13 = 6,660.99 : x
  2. Step 2: Convert to fraction form
    11,696.76/16,140.13 = 6,660.99/x
  3. Step 3: Cross multiply
    11,696.76x = 16,140.13 × 6,660.99
  4. Step 4: Simplify right side
    11,696.76x = 107,509,227.88
  5. Step 5: Solve for x
    x = 107,509,227.88/11,696.76
  6. Step 6: Final answer
    x = 9,191.37

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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.