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Finding the Fourth Proportional to 11,471.70, 17,185.62 and 7,755.69

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Solution

The fourth proportional to 11,471.70, 17,185.62 and 7,755.69 is: 11,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.70 : 17,185.62 = 7,755.69 : x
  2. Step 2: Convert to fraction form
    11,471.70/17,185.62 = 7,755.69/x
  3. Step 3: Cross multiply
    11,471.70x = 17,185.62 × 7,755.69
  4. Step 4: Simplify right side
    11,471.70x = 133,286,341.18
  5. Step 5: Solve for x
    x = 133,286,341.18/11,471.70
  6. Step 6: Final answer
    x = 11,618.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.