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Finding the Fourth Proportional to 11,911.10, 17,837.49 and 8,392.46

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Solution

The fourth proportional to 11,911.10, 17,837.49 and 8,392.46 is: 12,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.10 : 17,837.49 = 8,392.46 : x
  2. Step 2: Convert to fraction form
    11,911.10/17,837.49 = 8,392.46/x
  3. Step 3: Cross multiply
    11,911.10x = 17,837.49 × 8,392.46
  4. Step 4: Simplify right side
    11,911.10x = 149,700,421.33
  5. Step 5: Solve for x
    x = 149,700,421.33/11,911.10
  6. Step 6: Final answer
    x = 12,568.14

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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.