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Finding the Fourth Proportional to 11,163, 16,744.26 and 9,419.16

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Solution

The fourth proportional to 11,163, 16,744.26 and 9,419.16 is: 14,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163 : 16,744.26 = 9,419.16 : x
  2. Step 2: Convert to fraction form
    11,163/16,744.26 = 9,419.16/x
  3. Step 3: Cross multiply
    11,163x = 16,744.26 × 9,419.16
  4. Step 4: Simplify right side
    11,163x = 157,716,864.02
  5. Step 5: Solve for x
    x = 157,716,864.02/11,163
  6. Step 6: Final answer
    x = 14,128.54

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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.