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Finding the Fourth Proportional to 15,212, 20,992.56 and 8,588

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Solution

The fourth proportional to 15,212, 20,992.56 and 8,588 is: 11,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212 : 20,992.56 = 8,588 : x
  2. Step 2: Convert to fraction form
    15,212/20,992.56 = 8,588/x
  3. Step 3: Cross multiply
    15,212x = 20,992.56 × 8,588
  4. Step 4: Simplify right side
    15,212x = 180,284,105.28
  5. Step 5: Solve for x
    x = 180,284,105.28/15,212
  6. Step 6: Final answer
    x = 11,851.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.