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Finding the Fourth Proportional to 2,089.44, 3,134.88 and 628.92

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Solution

The fourth proportional to 2,089.44, 3,134.88 and 628.92 is: 943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.44 : 3,134.88 = 628.92 : x
  2. Step 2: Convert to fraction form
    2,089.44/3,134.88 = 628.92/x
  3. Step 3: Cross multiply
    2,089.44x = 3,134.88 × 628.92
  4. Step 4: Simplify right side
    2,089.44x = 1,971,588.73
  5. Step 5: Solve for x
    x = 1,971,588.73/2,089.44
  6. Step 6: Final answer
    x = 943.60

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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.