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Finding the Fourth Proportional to 2,168.85, 3,253.06 and 609

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Solution

The fourth proportional to 2,168.85, 3,253.06 and 609 is: 913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.85 : 3,253.06 = 609 : x
  2. Step 2: Convert to fraction form
    2,168.85/3,253.06 = 609/x
  3. Step 3: Cross multiply
    2,168.85x = 3,253.06 × 609
  4. Step 4: Simplify right side
    2,168.85x = 1,981,113.54
  5. Step 5: Solve for x
    x = 1,981,113.54/2,168.85
  6. Step 6: Final answer
    x = 913.44

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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.