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Finding the Fourth Proportional to 3,469.03, 5,203.55 and 871.97

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Solution

The fourth proportional to 3,469.03, 5,203.55 and 871.97 is: 1,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.03 : 5,203.55 = 871.97 : x
  2. Step 2: Convert to fraction form
    3,469.03/5,203.55 = 871.97/x
  3. Step 3: Cross multiply
    3,469.03x = 5,203.55 × 871.97
  4. Step 4: Simplify right side
    3,469.03x = 4,537,309.12
  5. Step 5: Solve for x
    x = 4,537,309.12/3,469.03
  6. Step 6: Final answer
    x = 1,307.95

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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.