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Finding the Fourth Proportional to 2,911.96, 4,367.86 and 720.64

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Solution

The fourth proportional to 2,911.96, 4,367.86 and 720.64 is: 1,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.96 : 4,367.86 = 720.64 : x
  2. Step 2: Convert to fraction form
    2,911.96/4,367.86 = 720.64/x
  3. Step 3: Cross multiply
    2,911.96x = 4,367.86 × 720.64
  4. Step 4: Simplify right side
    2,911.96x = 3,147,654.63
  5. Step 5: Solve for x
    x = 3,147,654.63/2,911.96
  6. Step 6: Final answer
    x = 1,080.94

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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.