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Finding the Fourth Proportional to 2,089.42, 3,133.66 and 628.68

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Solution

The fourth proportional to 2,089.42, 3,133.66 and 628.68 is: 942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.42 : 3,133.66 = 628.68 : x
  2. Step 2: Convert to fraction form
    2,089.42/3,133.66 = 628.68/x
  3. Step 3: Cross multiply
    2,089.42x = 3,133.66 × 628.68
  4. Step 4: Simplify right side
    2,089.42x = 1,970,069.37
  5. Step 5: Solve for x
    x = 1,970,069.37/2,089.42
  6. Step 6: Final answer
    x = 942.88

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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.