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Finding the Fourth Proportional to 5,720.72, 8,581.44 and 1,825.28

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Solution

The fourth proportional to 5,720.72, 8,581.44 and 1,825.28 is: 2,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.72 : 8,581.44 = 1,825.28 : x
  2. Step 2: Convert to fraction form
    5,720.72/8,581.44 = 1,825.28/x
  3. Step 3: Cross multiply
    5,720.72x = 8,581.44 × 1,825.28
  4. Step 4: Simplify right side
    5,720.72x = 15,663,530.80
  5. Step 5: Solve for x
    x = 15,663,530.80/5,720.72
  6. Step 6: Final answer
    x = 2,738.03

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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.