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Finding the Fourth Proportional to 8,212.31, 11,332.99 and 4,435.48

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Solution

The fourth proportional to 8,212.31, 11,332.99 and 4,435.48 is: 6,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.31 : 11,332.99 = 4,435.48 : x
  2. Step 2: Convert to fraction form
    8,212.31/11,332.99 = 4,435.48/x
  3. Step 3: Cross multiply
    8,212.31x = 11,332.99 × 4,435.48
  4. Step 4: Simplify right side
    8,212.31x = 50,267,222.15
  5. Step 5: Solve for x
    x = 50,267,222.15/8,212.31
  6. Step 6: Final answer
    x = 6,120.96

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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.