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Finding the Fourth Proportional to 3,103.31, 4,654.33 and 911.45

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Solution

The fourth proportional to 3,103.31, 4,654.33 and 911.45 is: 1,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.31 : 4,654.33 = 911.45 : x
  2. Step 2: Convert to fraction form
    3,103.31/4,654.33 = 911.45/x
  3. Step 3: Cross multiply
    3,103.31x = 4,654.33 × 911.45
  4. Step 4: Simplify right side
    3,103.31x = 4,242,189.08
  5. Step 5: Solve for x
    x = 4,242,189.08/3,103.31
  6. Step 6: Final answer
    x = 1,366.99

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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.