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Finding the Fourth Proportional to 5,078.70, 7,012.93 and 3,193.43

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Solution

The fourth proportional to 5,078.70, 7,012.93 and 3,193.43 is: 4,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.70 : 7,012.93 = 3,193.43 : x
  2. Step 2: Convert to fraction form
    5,078.70/7,012.93 = 3,193.43/x
  3. Step 3: Cross multiply
    5,078.70x = 7,012.93 × 3,193.43
  4. Step 4: Simplify right side
    5,078.70x = 22,395,310.60
  5. Step 5: Solve for x
    x = 22,395,310.60/5,078.70
  6. Step 6: Final answer
    x = 4,409.66

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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.