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Finding the Fourth Proportional to 11,978.24, 17,969.40 and 4,079.92

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Solution

The fourth proportional to 11,978.24, 17,969.40 and 4,079.92 is: 6,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.24 : 17,969.40 = 4,079.92 : x
  2. Step 2: Convert to fraction form
    11,978.24/17,969.40 = 4,079.92/x
  3. Step 3: Cross multiply
    11,978.24x = 17,969.40 × 4,079.92
  4. Step 4: Simplify right side
    11,978.24x = 73,313,714.45
  5. Step 5: Solve for x
    x = 73,313,714.45/11,978.24
  6. Step 6: Final answer
    x = 6,120.57

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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.