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Finding the Fourth Proportional to 11,978.15, 16,529.62 and 6,600.41

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Solution

The fourth proportional to 11,978.15, 16,529.62 and 6,600.41 is: 9,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.15 : 16,529.62 = 6,600.41 : x
  2. Step 2: Convert to fraction form
    11,978.15/16,529.62 = 6,600.41/x
  3. Step 3: Cross multiply
    11,978.15x = 16,529.62 × 6,600.41
  4. Step 4: Simplify right side
    11,978.15x = 109,102,290.85
  5. Step 5: Solve for x
    x = 109,102,290.85/11,978.15
  6. Step 6: Final answer
    x = 9,108.44

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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.