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Finding the Fourth Proportional to 7,929.80, 11,880.02 and 3,976.44

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Solution

The fourth proportional to 7,929.80, 11,880.02 and 3,976.44 is: 5,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.80 : 11,880.02 = 3,976.44 : x
  2. Step 2: Convert to fraction form
    7,929.80/11,880.02 = 3,976.44/x
  3. Step 3: Cross multiply
    7,929.80x = 11,880.02 × 3,976.44
  4. Step 4: Simplify right side
    7,929.80x = 47,240,196.58
  5. Step 5: Solve for x
    x = 47,240,196.58/7,929.80
  6. Step 6: Final answer
    x = 5,957.30

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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.