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Finding the Fourth Proportional to 5,297.29, 7,948.50 and 2,179.60

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Solution

The fourth proportional to 5,297.29, 7,948.50 and 2,179.60 is: 3,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.29 : 7,948.50 = 2,179.60 : x
  2. Step 2: Convert to fraction form
    5,297.29/7,948.50 = 2,179.60/x
  3. Step 3: Cross multiply
    5,297.29x = 7,948.50 × 2,179.60
  4. Step 4: Simplify right side
    5,297.29x = 17,324,550.60
  5. Step 5: Solve for x
    x = 17,324,550.60/5,297.29
  6. Step 6: Final answer
    x = 3,270.46

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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.