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Finding the Fourth Proportional to 11,215.60, 16,804.95 and 6,819.82

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Solution

The fourth proportional to 11,215.60, 16,804.95 and 6,819.82 is: 10,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.60 : 16,804.95 = 6,819.82 : x
  2. Step 2: Convert to fraction form
    11,215.60/16,804.95 = 6,819.82/x
  3. Step 3: Cross multiply
    11,215.60x = 16,804.95 × 6,819.82
  4. Step 4: Simplify right side
    11,215.60x = 114,606,734.11
  5. Step 5: Solve for x
    x = 114,606,734.11/11,215.60
  6. Step 6: Final answer
    x = 10,218.51

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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.