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Finding the Fourth Proportional to 15,028, 20,738.72 and 8,404

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Solution

The fourth proportional to 15,028, 20,738.72 and 8,404 is: 11,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,028 : 20,738.72 = 8,404 : x
  2. Step 2: Convert to fraction form
    15,028/20,738.72 = 8,404/x
  3. Step 3: Cross multiply
    15,028x = 20,738.72 × 8,404
  4. Step 4: Simplify right side
    15,028x = 174,288,202.88
  5. Step 5: Solve for x
    x = 174,288,202.88/15,028
  6. Step 6: Final answer
    x = 11,597.56

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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.