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Finding the Fourth Proportional to 1,996.14, 2,734.73 and 1,921.32

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Solution

The fourth proportional to 1,996.14, 2,734.73 and 1,921.32 is: 2,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.14 : 2,734.73 = 1,921.32 : x
  2. Step 2: Convert to fraction form
    1,996.14/2,734.73 = 1,921.32/x
  3. Step 3: Cross multiply
    1,996.14x = 2,734.73 × 1,921.32
  4. Step 4: Simplify right side
    1,996.14x = 5,254,302.90
  5. Step 5: Solve for x
    x = 5,254,302.90/1,996.14
  6. Step 6: Final answer
    x = 2,632.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.