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Finding the Fourth Proportional to 5,149.21, 7,731.09 and 4,914.31

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Solution

The fourth proportional to 5,149.21, 7,731.09 and 4,914.31 is: 7,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.21 : 7,731.09 = 4,914.31 : x
  2. Step 2: Convert to fraction form
    5,149.21/7,731.09 = 4,914.31/x
  3. Step 3: Cross multiply
    5,149.21x = 7,731.09 × 4,914.31
  4. Step 4: Simplify right side
    5,149.21x = 37,992,972.90
  5. Step 5: Solve for x
    x = 37,992,972.90/5,149.21
  6. Step 6: Final answer
    x = 7,378.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.