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Finding the Fourth Proportional to 2,089.84, 3,134.84 and 629.20

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Solution

The fourth proportional to 2,089.84, 3,134.84 and 629.20 is: 943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.84 : 3,134.84 = 629.20 : x
  2. Step 2: Convert to fraction form
    2,089.84/3,134.84 = 629.20/x
  3. Step 3: Cross multiply
    2,089.84x = 3,134.84 × 629.20
  4. Step 4: Simplify right side
    2,089.84x = 1,972,441.33
  5. Step 5: Solve for x
    x = 1,972,441.33/2,089.84
  6. Step 6: Final answer
    x = 943.82

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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.