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Finding the Fourth Proportional to 11,716.70, 16,174.62 and 7,243.06

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Solution

The fourth proportional to 11,716.70, 16,174.62 and 7,243.06 is: 9,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.70 : 16,174.62 = 7,243.06 : x
  2. Step 2: Convert to fraction form
    11,716.70/16,174.62 = 7,243.06/x
  3. Step 3: Cross multiply
    11,716.70x = 16,174.62 × 7,243.06
  4. Step 4: Simplify right side
    11,716.70x = 117,153,743.14
  5. Step 5: Solve for x
    x = 117,153,743.14/11,716.70
  6. Step 6: Final answer
    x = 9,998.87

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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.