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Finding the Fourth Proportional to 3,089.97, 4,633.41 and 1,921.44

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Solution

The fourth proportional to 3,089.97, 4,633.41 and 1,921.44 is: 2,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.97 : 4,633.41 = 1,921.44 : x
  2. Step 2: Convert to fraction form
    3,089.97/4,633.41 = 1,921.44/x
  3. Step 3: Cross multiply
    3,089.97x = 4,633.41 × 1,921.44
  4. Step 4: Simplify right side
    3,089.97x = 8,902,796.14
  5. Step 5: Solve for x
    x = 8,902,796.14/3,089.97
  6. Step 6: Final answer
    x = 2,881.20

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1.5x scale

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.