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Finding the Fourth Proportional to 2,816.31, 4,224.63 and 736.39

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Solution

The fourth proportional to 2,816.31, 4,224.63 and 736.39 is: 1,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.31 : 4,224.63 = 736.39 : x
  2. Step 2: Convert to fraction form
    2,816.31/4,224.63 = 736.39/x
  3. Step 3: Cross multiply
    2,816.31x = 4,224.63 × 736.39
  4. Step 4: Simplify right side
    2,816.31x = 3,110,975.29
  5. Step 5: Solve for x
    x = 3,110,975.29/2,816.31
  6. Step 6: Final answer
    x = 1,104.63

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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.