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Finding the Fourth Proportional to 5,456.70, 8,189.10 and 3,605.04

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Solution

The fourth proportional to 5,456.70, 8,189.10 and 3,605.04 is: 5,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.70 : 8,189.10 = 3,605.04 : x
  2. Step 2: Convert to fraction form
    5,456.70/8,189.10 = 3,605.04/x
  3. Step 3: Cross multiply
    5,456.70x = 8,189.10 × 3,605.04
  4. Step 4: Simplify right side
    5,456.70x = 29,522,033.06
  5. Step 5: Solve for x
    x = 29,522,033.06/5,456.70
  6. Step 6: Final answer
    x = 5,410.24

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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.