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Finding the Fourth Proportional to 7,920.09, 11,880.09 and 2,076.75

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Solution

The fourth proportional to 7,920.09, 11,880.09 and 2,076.75 is: 3,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.09 : 11,880.09 = 2,076.75 : x
  2. Step 2: Convert to fraction form
    7,920.09/11,880.09 = 2,076.75/x
  3. Step 3: Cross multiply
    7,920.09x = 11,880.09 × 2,076.75
  4. Step 4: Simplify right side
    7,920.09x = 24,671,976.91
  5. Step 5: Solve for x
    x = 24,671,976.91/7,920.09
  6. Step 6: Final answer
    x = 3,115.11

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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.