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Finding the Fourth Proportional to 11,196, 15,449.76 and 6,481.80

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Solution

The fourth proportional to 11,196, 15,449.76 and 6,481.80 is: 8,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196 : 15,449.76 = 6,481.80 : x
  2. Step 2: Convert to fraction form
    11,196/15,449.76 = 6,481.80/x
  3. Step 3: Cross multiply
    11,196x = 15,449.76 × 6,481.80
  4. Step 4: Simplify right side
    11,196x = 100,142,254.37
  5. Step 5: Solve for x
    x = 100,142,254.37/11,196
  6. Step 6: Final answer
    x = 8,944.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.