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Finding the Fourth Proportional to 2,107.70, 3,164.15 and 1,327.70

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Solution

The fourth proportional to 2,107.70, 3,164.15 and 1,327.70 is: 1,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.70 : 3,164.15 = 1,327.70 : x
  2. Step 2: Convert to fraction form
    2,107.70/3,164.15 = 1,327.70/x
  3. Step 3: Cross multiply
    2,107.70x = 3,164.15 × 1,327.70
  4. Step 4: Simplify right side
    2,107.70x = 4,201,041.96
  5. Step 5: Solve for x
    x = 4,201,041.96/2,107.70
  6. Step 6: Final answer
    x = 1,993.19

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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.