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Finding the Fourth Proportional to 7,819.74, 11,730.15 and 2,889.27

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Solution

The fourth proportional to 7,819.74, 11,730.15 and 2,889.27 is: 4,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.74 : 11,730.15 = 2,889.27 : x
  2. Step 2: Convert to fraction form
    7,819.74/11,730.15 = 2,889.27/x
  3. Step 3: Cross multiply
    7,819.74x = 11,730.15 × 2,889.27
  4. Step 4: Simplify right side
    7,819.74x = 33,891,570.49
  5. Step 5: Solve for x
    x = 33,891,570.49/7,819.74
  6. Step 6: Final answer
    x = 4,334.10

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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.