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Finding the Fourth Proportional to 7,912.12, 11,864.94 and 2,979.28

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Solution

The fourth proportional to 7,912.12, 11,864.94 and 2,979.28 is: 4,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.12 : 11,864.94 = 2,979.28 : x
  2. Step 2: Convert to fraction form
    7,912.12/11,864.94 = 2,979.28/x
  3. Step 3: Cross multiply
    7,912.12x = 11,864.94 × 2,979.28
  4. Step 4: Simplify right side
    7,912.12x = 35,348,978.44
  5. Step 5: Solve for x
    x = 35,348,978.44/7,912.12
  6. Step 6: Final answer
    x = 4,467.70

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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.