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Finding the Fourth Proportional to 11,976.52, 17,964.70 and 9,920.20

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Solution

The fourth proportional to 11,976.52, 17,964.70 and 9,920.20 is: 14,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.52 : 17,964.70 = 9,920.20 : x
  2. Step 2: Convert to fraction form
    11,976.52/17,964.70 = 9,920.20/x
  3. Step 3: Cross multiply
    11,976.52x = 17,964.70 × 9,920.20
  4. Step 4: Simplify right side
    11,976.52x = 178,213,416.94
  5. Step 5: Solve for x
    x = 178,213,416.94/11,976.52
  6. Step 6: Final answer
    x = 14,880.23

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1.5x scale

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.