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Finding the Fourth Proportional to 5,196.87, 7,169.40 and 3,517.70

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Solution

The fourth proportional to 5,196.87, 7,169.40 and 3,517.70 is: 4,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.87 : 7,169.40 = 3,517.70 : x
  2. Step 2: Convert to fraction form
    5,196.87/7,169.40 = 3,517.70/x
  3. Step 3: Cross multiply
    5,196.87x = 7,169.40 × 3,517.70
  4. Step 4: Simplify right side
    5,196.87x = 25,219,762.53
  5. Step 5: Solve for x
    x = 25,219,762.53/5,196.87
  6. Step 6: Final answer
    x = 4,852.88

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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.