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Finding the Fourth Proportional to 2,911.97, 4,367.96 and 720.68

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Solution

The fourth proportional to 2,911.97, 4,367.96 and 720.68 is: 1,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.97 : 4,367.96 = 720.68 : x
  2. Step 2: Convert to fraction form
    2,911.97/4,367.96 = 720.68/x
  3. Step 3: Cross multiply
    2,911.97x = 4,367.96 × 720.68
  4. Step 4: Simplify right side
    2,911.97x = 3,147,878.67
  5. Step 5: Solve for x
    x = 3,147,878.67/2,911.97
  6. Step 6: Final answer
    x = 1,081.01

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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.