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Finding the Fourth Proportional to 15,012, 20,716.56 and 8,388

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Solution

The fourth proportional to 15,012, 20,716.56 and 8,388 is: 11,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012 : 20,716.56 = 8,388 : x
  2. Step 2: Convert to fraction form
    15,012/20,716.56 = 8,388/x
  3. Step 3: Cross multiply
    15,012x = 20,716.56 × 8,388
  4. Step 4: Simplify right side
    15,012x = 173,770,505.28
  5. Step 5: Solve for x
    x = 173,770,505.28/15,012
  6. Step 6: Final answer
    x = 11,575.44

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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.