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Finding the Fourth Proportional to 4,493.75, 6,743.42 and 1,720.65

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Solution

The fourth proportional to 4,493.75, 6,743.42 and 1,720.65 is: 2,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.75 : 6,743.42 = 1,720.65 : x
  2. Step 2: Convert to fraction form
    4,493.75/6,743.42 = 1,720.65/x
  3. Step 3: Cross multiply
    4,493.75x = 6,743.42 × 1,720.65
  4. Step 4: Simplify right side
    4,493.75x = 11,603,065.62
  5. Step 5: Solve for x
    x = 11,603,065.62/4,493.75
  6. Step 6: Final answer
    x = 2,582.05

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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.