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Finding the Fourth Proportional to 3,243.62, 4,865 and 903.80

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Solution

The fourth proportional to 3,243.62, 4,865 and 903.80 is: 1,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.62 : 4,865 = 903.80 : x
  2. Step 2: Convert to fraction form
    3,243.62/4,865 = 903.80/x
  3. Step 3: Cross multiply
    3,243.62x = 4,865 × 903.80
  4. Step 4: Simplify right side
    3,243.62x = 4,396,987
  5. Step 5: Solve for x
    x = 4,396,987/3,243.62
  6. Step 6: Final answer
    x = 1,355.58

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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.