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Finding the Fourth Proportional to 5,200.83, 7,172.43 and 4,447.43

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Solution

The fourth proportional to 5,200.83, 7,172.43 and 4,447.43 is: 6,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.83 : 7,172.43 = 4,447.43 : x
  2. Step 2: Convert to fraction form
    5,200.83/7,172.43 = 4,447.43/x
  3. Step 3: Cross multiply
    5,200.83x = 7,172.43 × 4,447.43
  4. Step 4: Simplify right side
    5,200.83x = 31,898,876.31
  5. Step 5: Solve for x
    x = 31,898,876.31/5,200.83
  6. Step 6: Final answer
    x = 6,133.43

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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.