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Finding the Fourth Proportional to 2,033.73, 3,052.35 and 994.50

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Solution

The fourth proportional to 2,033.73, 3,052.35 and 994.50 is: 1,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.73 : 3,052.35 = 994.50 : x
  2. Step 2: Convert to fraction form
    2,033.73/3,052.35 = 994.50/x
  3. Step 3: Cross multiply
    2,033.73x = 3,052.35 × 994.50
  4. Step 4: Simplify right side
    2,033.73x = 3,035,562.08
  5. Step 5: Solve for x
    x = 3,035,562.08/2,033.73
  6. Step 6: Final answer
    x = 1,492.61

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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.