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Finding the Fourth Proportional to 3,102.80, 4,654.62 and 911.21

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Solution

The fourth proportional to 3,102.80, 4,654.62 and 911.21 is: 1,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.80 : 4,654.62 = 911.21 : x
  2. Step 2: Convert to fraction form
    3,102.80/4,654.62 = 911.21/x
  3. Step 3: Cross multiply
    3,102.80x = 4,654.62 × 911.21
  4. Step 4: Simplify right side
    3,102.80x = 4,241,336.29
  5. Step 5: Solve for x
    x = 4,241,336.29/3,102.80
  6. Step 6: Final answer
    x = 1,366.94

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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.