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Finding the Fourth Proportional to 7,879.29, 11,819.06 and 1,956.20

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Solution

The fourth proportional to 7,879.29, 11,819.06 and 1,956.20 is: 2,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.29 : 11,819.06 = 1,956.20 : x
  2. Step 2: Convert to fraction form
    7,879.29/11,819.06 = 1,956.20/x
  3. Step 3: Cross multiply
    7,879.29x = 11,819.06 × 1,956.20
  4. Step 4: Simplify right side
    7,879.29x = 23,120,376.30
  5. Step 5: Solve for x
    x = 23,120,376.30/7,879.29
  6. Step 6: Final answer
    x = 2,934.32

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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.