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Finding the Fourth Proportional to 2,089.18, 3,132.84 and 628.06

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Solution

The fourth proportional to 2,089.18, 3,132.84 and 628.06 is: 941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.18 : 3,132.84 = 628.06 : x
  2. Step 2: Convert to fraction form
    2,089.18/3,132.84 = 628.06/x
  3. Step 3: Cross multiply
    2,089.18x = 3,132.84 × 628.06
  4. Step 4: Simplify right side
    2,089.18x = 1,967,611.49
  5. Step 5: Solve for x
    x = 1,967,611.49/2,089.18
  6. Step 6: Final answer
    x = 941.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.