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Finding the Fourth Proportional to 11,788.52, 17,679 and 11,012

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Solution

The fourth proportional to 11,788.52, 17,679 and 11,012 is: 16,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.52 : 17,679 = 11,012 : x
  2. Step 2: Convert to fraction form
    11,788.52/17,679 = 11,012/x
  3. Step 3: Cross multiply
    11,788.52x = 17,679 × 11,012
  4. Step 4: Simplify right side
    11,788.52x = 194,681,148
  5. Step 5: Solve for x
    x = 194,681,148/11,788.52
  6. Step 6: Final answer
    x = 16,514.47

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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.