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Finding the Fourth Proportional to 11,716.56, 16,166.28 and 7,940.40

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Solution

The fourth proportional to 11,716.56, 16,166.28 and 7,940.40 is: 10,956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.56 : 16,166.28 = 7,940.40 : x
  2. Step 2: Convert to fraction form
    11,716.56/16,166.28 = 7,940.40/x
  3. Step 3: Cross multiply
    11,716.56x = 16,166.28 × 7,940.40
  4. Step 4: Simplify right side
    11,716.56x = 128,366,729.71
  5. Step 5: Solve for x
    x = 128,366,729.71/11,716.56
  6. Step 6: Final answer
    x = 10,956.01

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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.