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Finding the Fourth Proportional to 5,418.72, 8,128 and 1,720.86

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Solution

The fourth proportional to 5,418.72, 8,128 and 1,720.86 is: 2,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.72 : 8,128 = 1,720.86 : x
  2. Step 2: Convert to fraction form
    5,418.72/8,128 = 1,720.86/x
  3. Step 3: Cross multiply
    5,418.72x = 8,128 × 1,720.86
  4. Step 4: Simplify right side
    5,418.72x = 13,987,150.08
  5. Step 5: Solve for x
    x = 13,987,150.08/5,418.72
  6. Step 6: Final answer
    x = 2,581.26

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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.