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Finding the Fourth Proportional to 5,619.10, 8,431.08 and 3,019

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Solution

The fourth proportional to 5,619.10, 8,431.08 and 3,019 is: 4,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.10 : 8,431.08 = 3,019 : x
  2. Step 2: Convert to fraction form
    5,619.10/8,431.08 = 3,019/x
  3. Step 3: Cross multiply
    5,619.10x = 8,431.08 × 3,019
  4. Step 4: Simplify right side
    5,619.10x = 25,453,430.52
  5. Step 5: Solve for x
    x = 25,453,430.52/5,619.10
  6. Step 6: Final answer
    x = 4,529.81

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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.