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Finding the Fourth Proportional to 3,238.70, 4,855.28 and 1,483.11

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Solution

The fourth proportional to 3,238.70, 4,855.28 and 1,483.11 is: 2,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.70 : 4,855.28 = 1,483.11 : x
  2. Step 2: Convert to fraction form
    3,238.70/4,855.28 = 1,483.11/x
  3. Step 3: Cross multiply
    3,238.70x = 4,855.28 × 1,483.11
  4. Step 4: Simplify right side
    3,238.70x = 7,200,906.91
  5. Step 5: Solve for x
    x = 7,200,906.91/3,238.70
  6. Step 6: Final answer
    x = 2,223.40

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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.