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Finding the Fourth Proportional to 3,909.75, 5,867.36 and 1,720.01

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Solution

The fourth proportional to 3,909.75, 5,867.36 and 1,720.01 is: 2,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.75 : 5,867.36 = 1,720.01 : x
  2. Step 2: Convert to fraction form
    3,909.75/5,867.36 = 1,720.01/x
  3. Step 3: Cross multiply
    3,909.75x = 5,867.36 × 1,720.01
  4. Step 4: Simplify right side
    3,909.75x = 10,091,879.94
  5. Step 5: Solve for x
    x = 10,091,879.94/3,909.75
  6. Step 6: Final answer
    x = 2,581.21

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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.