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Finding the Fourth Proportional to 8,424.02, 11,628.89 and 5,441.31

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Solution

The fourth proportional to 8,424.02, 11,628.89 and 5,441.31 is: 7,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.02 : 11,628.89 = 5,441.31 : x
  2. Step 2: Convert to fraction form
    8,424.02/11,628.89 = 5,441.31/x
  3. Step 3: Cross multiply
    8,424.02x = 11,628.89 × 5,441.31
  4. Step 4: Simplify right side
    8,424.02x = 63,276,380.99
  5. Step 5: Solve for x
    x = 63,276,380.99/8,424.02
  6. Step 6: Final answer
    x = 7,511.42

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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.