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Finding the Fourth Proportional to 28,604.76, 42,917.94 and 11,976

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Solution

The fourth proportional to 28,604.76, 42,917.94 and 11,976 is: 17,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,604.76 : 42,917.94 = 11,976 : x
  2. Step 2: Convert to fraction form
    28,604.76/42,917.94 = 11,976/x
  3. Step 3: Cross multiply
    28,604.76x = 42,917.94 × 11,976
  4. Step 4: Simplify right side
    28,604.76x = 513,985,249.44
  5. Step 5: Solve for x
    x = 513,985,249.44/28,604.76
  6. Step 6: Final answer
    x = 17,968.52

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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.