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Finding the Fourth Proportional to 7,819.65, 11,730.81 and 2,889.32

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Solution

The fourth proportional to 7,819.65, 11,730.81 and 2,889.32 is: 4,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.65 : 11,730.81 = 2,889.32 : x
  2. Step 2: Convert to fraction form
    7,819.65/11,730.81 = 2,889.32/x
  3. Step 3: Cross multiply
    7,819.65x = 11,730.81 × 2,889.32
  4. Step 4: Simplify right side
    7,819.65x = 33,894,005.30
  5. Step 5: Solve for x
    x = 33,894,005.30/7,819.65
  6. Step 6: Final answer
    x = 4,334.47

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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.