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Finding the Fourth Proportional to 11,976.40, 17,961.40 and 4,184.40

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Solution

The fourth proportional to 11,976.40, 17,961.40 and 4,184.40 is: 6,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.40 : 17,961.40 = 4,184.40 : x
  2. Step 2: Convert to fraction form
    11,976.40/17,961.40 = 4,184.40/x
  3. Step 3: Cross multiply
    11,976.40x = 17,961.40 × 4,184.40
  4. Step 4: Simplify right side
    11,976.40x = 75,157,682.16
  5. Step 5: Solve for x
    x = 75,157,682.16/11,976.40
  6. Step 6: Final answer
    x = 6,275.48

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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.