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Finding the Fourth Proportional to 11,894.64, 17,822.16 and 7,729.44

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Solution

The fourth proportional to 11,894.64, 17,822.16 and 7,729.44 is: 11,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.64 : 17,822.16 = 7,729.44 : x
  2. Step 2: Convert to fraction form
    11,894.64/17,822.16 = 7,729.44/x
  3. Step 3: Cross multiply
    11,894.64x = 17,822.16 × 7,729.44
  4. Step 4: Simplify right side
    11,894.64x = 137,755,316.39
  5. Step 5: Solve for x
    x = 137,755,316.39/11,894.64
  6. Step 6: Final answer
    x = 11,581.29

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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.