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Finding the Fourth Proportional to 5,619.62, 8,431.85 and 3,019.52

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Solution

The fourth proportional to 5,619.62, 8,431.85 and 3,019.52 is: 4,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.62 : 8,431.85 = 3,019.52 : x
  2. Step 2: Convert to fraction form
    5,619.62/8,431.85 = 3,019.52/x
  3. Step 3: Cross multiply
    5,619.62x = 8,431.85 × 3,019.52
  4. Step 4: Simplify right side
    5,619.62x = 25,460,082.46
  5. Step 5: Solve for x
    x = 25,460,082.46/5,619.62
  6. Step 6: Final answer
    x = 4,530.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.