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Finding the Fourth Proportional to 12,777.44, 19,162 and 4,988.96

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Solution

The fourth proportional to 12,777.44, 19,162 and 4,988.96 is: 7,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.44 : 19,162 = 4,988.96 : x
  2. Step 2: Convert to fraction form
    12,777.44/19,162 = 4,988.96/x
  3. Step 3: Cross multiply
    12,777.44x = 19,162 × 4,988.96
  4. Step 4: Simplify right side
    12,777.44x = 95,598,451.52
  5. Step 5: Solve for x
    x = 95,598,451.52/12,777.44
  6. Step 6: Final answer
    x = 7,481.82

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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.