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Finding the Fourth Proportional to 2,138.00, 3,206.79 and 1,097.42

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Solution

The fourth proportional to 2,138.00, 3,206.79 and 1,097.42 is: 1,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.00 : 3,206.79 = 1,097.42 : x
  2. Step 2: Convert to fraction form
    2,138.00/3,206.79 = 1,097.42/x
  3. Step 3: Cross multiply
    2,138.00x = 3,206.79 × 1,097.42
  4. Step 4: Simplify right side
    2,138.00x = 3,519,179.45
  5. Step 5: Solve for x
    x = 3,519,179.45/2,138.00
  6. Step 6: Final answer
    x = 1,646.02

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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.