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Finding the Fourth Proportional to 2,138.62, 3,209.00 and 1,200.99

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Solution

The fourth proportional to 2,138.62, 3,209.00 and 1,200.99 is: 1,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.62 : 3,209.00 = 1,200.99 : x
  2. Step 2: Convert to fraction form
    2,138.62/3,209.00 = 1,200.99/x
  3. Step 3: Cross multiply
    2,138.62x = 3,209.00 × 1,200.99
  4. Step 4: Simplify right side
    2,138.62x = 3,853,957.86
  5. Step 5: Solve for x
    x = 3,853,957.86/2,138.62
  6. Step 6: Final answer
    x = 1,802.07

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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.