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Finding the Fourth Proportional to 9,212.14, 12,712.79 and 5,234.58

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Solution

The fourth proportional to 9,212.14, 12,712.79 and 5,234.58 is: 7,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.14 : 12,712.79 = 5,234.58 : x
  2. Step 2: Convert to fraction form
    9,212.14/12,712.79 = 5,234.58/x
  3. Step 3: Cross multiply
    9,212.14x = 12,712.79 × 5,234.58
  4. Step 4: Simplify right side
    9,212.14x = 66,546,026.54
  5. Step 5: Solve for x
    x = 66,546,026.54/9,212.14
  6. Step 6: Final answer
    x = 7,223.73

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