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Finding the Fourth Proportional to 8,461.44, 12,696.48 and 7,819.92

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Solution

The fourth proportional to 8,461.44, 12,696.48 and 7,819.92 is: 11,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.44 : 12,696.48 = 7,819.92 : x
  2. Step 2: Convert to fraction form
    8,461.44/12,696.48 = 7,819.92/x
  3. Step 3: Cross multiply
    8,461.44x = 12,696.48 × 7,819.92
  4. Step 4: Simplify right side
    8,461.44x = 99,285,457.88
  5. Step 5: Solve for x
    x = 99,285,457.88/8,461.44
  6. Step 6: Final answer
    x = 11,733.87

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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.