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Finding the Fourth Proportional to 11,911.88, 17,876.03 and 5,345.42

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Solution

The fourth proportional to 11,911.88, 17,876.03 and 5,345.42 is: 8,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.88 : 17,876.03 = 5,345.42 : x
  2. Step 2: Convert to fraction form
    11,911.88/17,876.03 = 5,345.42/x
  3. Step 3: Cross multiply
    11,911.88x = 17,876.03 × 5,345.42
  4. Step 4: Simplify right side
    11,911.88x = 95,554,772.18
  5. Step 5: Solve for x
    x = 95,554,772.18/11,911.88
  6. Step 6: Final answer
    x = 8,021.80

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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.